선형 대수 예제

$[\begin{array}{c} - \frac{1}{\sqrt{2}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ \frac{1}{\sqrt{2}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 1

$\frac{1}{\sqrt{2}}$ 에

$\frac{\sqrt{2}}{\sqrt{2}}$ 을 곱합니다.

$[\begin{array}{c} - (\frac{1}{\sqrt{2}} \cdot \frac{\sqrt{2}}{\sqrt{2}}) & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ \frac{1}{\sqrt{2}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 2

분모를 결합하고 간단히 합니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 2.1

$\frac{1}{\sqrt{2}}$ 에

$\frac{\sqrt{2}}{\sqrt{2}}$ 을 곱합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{\sqrt{2} \sqrt{2}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ \frac{1}{\sqrt{2}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 2.2

$\sqrt{2}$ 를

$1$ 승 합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{{\sqrt{2}}^{1} \sqrt{2}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ \frac{1}{\sqrt{2}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 2.3

$\sqrt{2}$ 를

$1$ 승 합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{{\sqrt{2}}^{1} {\sqrt{2}}^{1}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ \frac{1}{\sqrt{2}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 2.4

지수 법칙

$a^{m} a^{n} = a^{m + n}$ 을 이용하여 지수를 합칩니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{{\sqrt{2}}^{1 + 1}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ \frac{1}{\sqrt{2}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 2.5

$1$ 를

$1$ 에 더합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{{\sqrt{2}}^{2}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ \frac{1}{\sqrt{2}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 2.6

${\sqrt{2}}^{2}$ 을

$2$ 로 바꿔 씁니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 2.6.1

$\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ 을(를) 사용하여

$\sqrt{2}$ 을(를)

$2^{\frac{1}{2}}$ (으)로 다시 씁니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{{(2^{\frac{1}{2}})}^{2}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ \frac{1}{\sqrt{2}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 2.6.2

멱의 법칙을 적용하여

${(a^{m})}^{n} = a^{m n}$ 과 같이 지수를 곱합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2^{\frac{1}{2} \cdot 2}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ \frac{1}{\sqrt{2}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 2.6.3

$\frac{1}{2}$ 와

$2$ 을 묶습니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2^{\frac{2}{2}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ \frac{1}{\sqrt{2}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 2.6.4

$2$ 의 공약수로 약분합니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 2.6.4.1

공약수로 약분합니다.

단계 2.6.4.2

수식을 다시 씁니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2^{1}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ \frac{1}{\sqrt{2}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 2.6.5

지수값을 계산합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ \frac{1}{\sqrt{2}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 3

분자에 분모의 역수를 곱합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - (0.5 \frac{\sqrt{1.5}}{2}) & \frac{1}{\sqrt{3}} \\ \frac{1}{\sqrt{2}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 4

$0.5$ 의 공약수로 약분합니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 4.1

$2$ 에서

$0.5$ 를 인수분해합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - (0.5 \frac{\sqrt{1.5}}{0.5 (4)}) & \frac{1}{\sqrt{3}} \\ \frac{1}{\sqrt{2}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 4.2

공약수로 약분합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - (0.5 \frac{\sqrt{1.5}}{0.5 \cdot 4}) & \frac{1}{\sqrt{3}} \\ \frac{1}{\sqrt{2}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 4.3

수식을 다시 씁니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{1}{\sqrt{3}} \\ \frac{1}{\sqrt{2}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 5

$\frac{1}{\sqrt{3}}$ 에

$\frac{\sqrt{3}}{\sqrt{3}}$ 을 곱합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{1}{\sqrt{3}} \cdot \frac{\sqrt{3}}{\sqrt{3}} \\ \frac{1}{\sqrt{2}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 6

분모를 결합하고 간단히 합니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 6.1

$\frac{1}{\sqrt{3}}$ 에

$\frac{\sqrt{3}}{\sqrt{3}}$ 을 곱합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{\sqrt{3} \sqrt{3}} \\ \frac{1}{\sqrt{2}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 6.2

$\sqrt{3}$ 를

$1$ 승 합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{{\sqrt{3}}^{1} \sqrt{3}} \\ \frac{1}{\sqrt{2}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 6.3

$\sqrt{3}$ 를

$1$ 승 합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{{\sqrt{3}}^{1} {\sqrt{3}}^{1}} \\ \frac{1}{\sqrt{2}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 6.4

지수 법칙

$a^{m} a^{n} = a^{m + n}$ 을 이용하여 지수를 합칩니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{{\sqrt{3}}^{1 + 1}} \\ \frac{1}{\sqrt{2}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 6.5

$1$ 를

$1$ 에 더합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{{\sqrt{3}}^{2}} \\ \frac{1}{\sqrt{2}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 6.6

${\sqrt{3}}^{2}$ 을

$3$ 로 바꿔 씁니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 6.6.1

$\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ 을(를) 사용하여

$\sqrt{3}$ 을(를)

$3^{\frac{1}{2}}$ (으)로 다시 씁니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{{(3^{\frac{1}{2}})}^{2}} \\ \frac{1}{\sqrt{2}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 6.6.2

멱의 법칙을 적용하여

${(a^{m})}^{n} = a^{m n}$ 과 같이 지수를 곱합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3^{\frac{1}{2} \cdot 2}} \\ \frac{1}{\sqrt{2}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 6.6.3

$\frac{1}{2}$ 와

$2$ 을 묶습니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3^{\frac{2}{2}}} \\ \frac{1}{\sqrt{2}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 6.6.4

$2$ 의 공약수로 약분합니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 6.6.4.1

공약수로 약분합니다.

단계 6.6.4.2

수식을 다시 씁니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3^{1}} \\ \frac{1}{\sqrt{2}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 6.6.5

지수값을 계산합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{1}{\sqrt{2}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 7

$\frac{1}{\sqrt{2}}$ 에

$\frac{\sqrt{2}}{\sqrt{2}}$ 을 곱합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{1}{\sqrt{2}} \cdot \frac{\sqrt{2}}{\sqrt{2}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 8

분모를 결합하고 간단히 합니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 8.1

$\frac{1}{\sqrt{2}}$ 에

$\frac{\sqrt{2}}{\sqrt{2}}$ 을 곱합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{\sqrt{2} \sqrt{2}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 8.2

$\sqrt{2}$ 를

$1$ 승 합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{{\sqrt{2}}^{1} \sqrt{2}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 8.3

$\sqrt{2}$ 를

$1$ 승 합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{{\sqrt{2}}^{1} {\sqrt{2}}^{1}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 8.4

지수 법칙

$a^{m} a^{n} = a^{m + n}$ 을 이용하여 지수를 합칩니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{{\sqrt{2}}^{1 + 1}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 8.5

$1$ 를

$1$ 에 더합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{{\sqrt{2}}^{2}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 8.6

${\sqrt{2}}^{2}$ 을

$2$ 로 바꿔 씁니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 8.6.1

$\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ 을(를) 사용하여

$\sqrt{2}$ 을(를)

$2^{\frac{1}{2}}$ (으)로 다시 씁니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{{(2^{\frac{1}{2}})}^{2}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 8.6.2

멱의 법칙을 적용하여

${(a^{m})}^{n} = a^{m n}$ 과 같이 지수를 곱합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{2^{\frac{1}{2} \cdot 2}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 8.6.3

$\frac{1}{2}$ 와

$2$ 을 묶습니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{2^{\frac{2}{2}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 8.6.4

$2$ 의 공약수로 약분합니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 8.6.4.1

공약수로 약분합니다.

단계 8.6.4.2

수식을 다시 씁니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{2^{1}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 8.6.5

지수값을 계산합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 9

분자에 분모의 역수를 곱합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - (0.5 \frac{\sqrt{1.5}}{2}) & \frac{1}{\sqrt{3}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 10

$0.5$ 의 공약수로 약분합니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 10.1

$2$ 에서

$0.5$ 를 인수분해합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - (0.5 \frac{\sqrt{1.5}}{0.5 (4)}) & \frac{1}{\sqrt{3}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 10.2

공약수로 약분합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - (0.5 \frac{\sqrt{1.5}}{0.5 \cdot 4}) & \frac{1}{\sqrt{3}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 10.3

수식을 다시 씁니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{1}{\sqrt{3}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 11

$\frac{1}{\sqrt{3}}$ 에

$\frac{\sqrt{3}}{\sqrt{3}}$ 을 곱합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{1}{\sqrt{3}} \cdot \frac{\sqrt{3}}{\sqrt{3}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 12

분모를 결합하고 간단히 합니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 12.1

$\frac{1}{\sqrt{3}}$ 에

$\frac{\sqrt{3}}{\sqrt{3}}$ 을 곱합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{\sqrt{3} \sqrt{3}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 12.2

$\sqrt{3}$ 를

$1$ 승 합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{{\sqrt{3}}^{1} \sqrt{3}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 12.3

$\sqrt{3}$ 를

$1$ 승 합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{{\sqrt{3}}^{1} {\sqrt{3}}^{1}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 12.4

지수 법칙

$a^{m} a^{n} = a^{m + n}$ 을 이용하여 지수를 합칩니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{{\sqrt{3}}^{1 + 1}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 12.5

$1$ 를

$1$ 에 더합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{{\sqrt{3}}^{2}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 12.6

${\sqrt{3}}^{2}$ 을

$3$ 로 바꿔 씁니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 12.6.1

$\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ 을(를) 사용하여

$\sqrt{3}$ 을(를)

$3^{\frac{1}{2}}$ (으)로 다시 씁니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{{(3^{\frac{1}{2}})}^{2}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 12.6.2

멱의 법칙을 적용하여

${(a^{m})}^{n} = a^{m n}$ 과 같이 지수를 곱합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3^{\frac{1}{2} \cdot 2}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 12.6.3

$\frac{1}{2}$ 와

$2$ 을 묶습니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3^{\frac{2}{2}}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 12.6.4

$2$ 의 공약수로 약분합니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 12.6.4.1

공약수로 약분합니다.

단계 12.6.4.2

수식을 다시 씁니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3^{1}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 12.6.5

지수값을 계산합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 13

$\frac{1}{\sqrt{1.5}}$ 에

$\frac{\sqrt{1.5}}{\sqrt{1.5}}$ 을 곱합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ 0 & \frac{1}{\sqrt{1.5}} \cdot \frac{\sqrt{1.5}}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 14

분모를 결합하고 간단히 합니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 14.1

$\frac{1}{\sqrt{1.5}}$ 에

$\frac{\sqrt{1.5}}{\sqrt{1.5}}$ 을 곱합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ 0 & \frac{\sqrt{1.5}}{\sqrt{1.5} \sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 14.2

$\sqrt{1.5}$ 를

$1$ 승 합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ 0 & \frac{\sqrt{1.5}}{{\sqrt{1.5}}^{1} \sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 14.3

$\sqrt{1.5}$ 를

$1$ 승 합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ 0 & \frac{\sqrt{1.5}}{{\sqrt{1.5}}^{1} {\sqrt{1.5}}^{1}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 14.4

지수 법칙

$a^{m} a^{n} = a^{m + n}$ 을 이용하여 지수를 합칩니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ 0 & \frac{\sqrt{1.5}}{{\sqrt{1.5}}^{1 + 1}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 14.5

$1$ 를

$1$ 에 더합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ 0 & \frac{\sqrt{1.5}}{{\sqrt{1.5}}^{2}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 14.6

${\sqrt{1.5}}^{2}$ 을

$1.5$ 로 바꿔 씁니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 14.6.1

$\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ 을(를) 사용하여

$\sqrt{1.5}$ 을(를)

${1.5}^{\frac{1}{2}}$ (으)로 다시 씁니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ 0 & \frac{\sqrt{1.5}}{{({1.5}^{\frac{1}{2}})}^{2}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 14.6.2

멱의 법칙을 적용하여

${(a^{m})}^{n} = a^{m n}$ 과 같이 지수를 곱합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ 0 & \frac{\sqrt{1.5}}{{1.5}^{\frac{1}{2} \cdot 2}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 14.6.3

$\frac{1}{2}$ 와

$2$ 을 묶습니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ 0 & \frac{\sqrt{1.5}}{{1.5}^{\frac{2}{2}}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 14.6.4

$2$ 의 공약수로 약분합니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 14.6.4.1

공약수로 약분합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ 0 & \frac{\sqrt{1.5}}{{1.5}^{\frac{2}{2}}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 14.6.4.2

수식을 다시 씁니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ 0 & \frac{\sqrt{1.5}}{{1.5}^{1}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 14.6.5

지수값을 계산합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ 0 & \frac{\sqrt{1.5}}{1.5} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 15

근호를 계산합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ 0 & \frac{1.22474487}{1.5} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 16

$1.22474487$ 을

$1.5$ 로 나눕니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 17

$\frac{1}{\sqrt{3}}$ 에

$\frac{\sqrt{3}}{\sqrt{3}}$ 을 곱합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{1}{\sqrt{3}} \cdot \frac{\sqrt{3}}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 18

분모를 결합하고 간단히 합니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 18.1

$\frac{1}{\sqrt{3}}$ 에

$\frac{\sqrt{3}}{\sqrt{3}}$ 을 곱합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{\sqrt{3}}{\sqrt{3} \sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 18.2

$\sqrt{3}$ 를

$1$ 승 합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{\sqrt{3}}{{\sqrt{3}}^{1} \sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 18.3

$\sqrt{3}$ 를

$1$ 승 합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{\sqrt{3}}{{\sqrt{3}}^{1} {\sqrt{3}}^{1}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 18.4

지수 법칙

$a^{m} a^{n} = a^{m + n}$ 을 이용하여 지수를 합칩니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{\sqrt{3}}{{\sqrt{3}}^{1 + 1}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 18.5

$1$ 를

$1$ 에 더합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{\sqrt{3}}{{\sqrt{3}}^{2}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 18.6

${\sqrt{3}}^{2}$ 을

$3$ 로 바꿔 씁니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 18.6.1

$\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ 을(를) 사용하여

$\sqrt{3}$ 을(를)

$3^{\frac{1}{2}}$ (으)로 다시 씁니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{\sqrt{3}}{{(3^{\frac{1}{2}})}^{2}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 18.6.2

멱의 법칙을 적용하여

${(a^{m})}^{n} = a^{m n}$ 과 같이 지수를 곱합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{\sqrt{3}}{3^{\frac{1}{2} \cdot 2}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 18.6.3

$\frac{1}{2}$ 와

$2$ 을 묶습니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{\sqrt{3}}{3^{\frac{2}{2}}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 18.6.4

$2$ 의 공약수로 약분합니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 18.6.4.1

공약수로 약분합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{\sqrt{3}}{3^{\frac{2}{2}}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 18.6.4.2

수식을 다시 씁니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{\sqrt{3}}{3^{1}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 18.6.5

지수값을 계산합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{\sqrt{3}}{3} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 19

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 19.1

첫 번째 행렬의 열 수가 두 번째 행렬의 행 수와 같은 경우에만 두 행렬을 곱할 수 있습니다. 이 경우 첫 번째 행렬은

$3 \times 3$ 이고 두 번째 행렬은

$3 \times 3$ 입니다.

단계 19.2

첫 번째 행렬의 각 행에 두 번째 행렬의 각 열을 곱합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} \cdot 1 - \frac{\sqrt{1.5}}{4} \cdot 0 + \frac{\sqrt{3}}{3} \cdot 0 & - \frac{\sqrt{2}}{2} \cdot 0 - \frac{\sqrt{1.5}}{4} \cdot 1 + \frac{\sqrt{3}}{3} \cdot 0 & - \frac{\sqrt{2}}{2} \cdot 0 - \frac{\sqrt{1.5}}{4} \cdot 0 + \frac{\sqrt{3}}{3} \cdot 4 \\ \frac{\sqrt{2}}{2} \cdot 1 - \frac{\sqrt{1.5}}{4} \cdot 0 + \frac{\sqrt{3}}{3} \cdot 0 & \frac{\sqrt{2}}{2} \cdot 0 - \frac{\sqrt{1.5}}{4} \cdot 1 + \frac{\sqrt{3}}{3} \cdot 0 & \frac{\sqrt{2}}{2} \cdot 0 - \frac{\sqrt{1.5}}{4} \cdot 0 + \frac{\sqrt{3}}{3} \cdot 4 \\ 0 \cdot 1 + 0.81649658 \cdot 0 + \frac{\sqrt{3}}{3} \cdot 0 & 0 \cdot 0 + 0.81649658 \cdot 1 + \frac{\sqrt{3}}{3} \cdot 0 & 0 \cdot 0 + 0.81649658 \cdot 0 + \frac{\sqrt{3}}{3} \cdot 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 19.3

모든 식을 전개하여 행렬의 각 원소를 간단히 합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 20

$\frac{1}{\sqrt{2}}$ 에

$\frac{\sqrt{2}}{\sqrt{2}}$ 을 곱합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - (\frac{1}{\sqrt{2}} \cdot \frac{\sqrt{2}}{\sqrt{2}}) & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 21

분모를 결합하고 간단히 합니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 21.1

$\frac{1}{\sqrt{2}}$ 에

$\frac{\sqrt{2}}{\sqrt{2}}$ 을 곱합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{\sqrt{2} \sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 21.2

$\sqrt{2}$ 를

$1$ 승 합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{{\sqrt{2}}^{1} \sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 21.3

$\sqrt{2}$ 를

$1$ 승 합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{{\sqrt{2}}^{1} {\sqrt{2}}^{1}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 21.4

지수 법칙 $a^{m} a^{n} = a^{m + n}$ 을 이용하여 지수를 합칩니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{{\sqrt{2}}^{1 + 1}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 21.5

$1$ 를 $1$ 에 더합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{{\sqrt{2}}^{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 21.6

${\sqrt{2}}^{2}$ 을 $2$ 로 바꿔 씁니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 21.6.1

$\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ 을(를) 사용하여 $\sqrt{2}$ 을(를) $2^{\frac{1}{2}}$ (으)로 다시 씁니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{{(2^{\frac{1}{2}})}^{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 21.6.2

멱의 법칙을 적용하여 ${(a^{m})}^{n} = a^{m n}$ 과 같이 지수를 곱합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2^{\frac{1}{2} \cdot 2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 21.6.3

$\frac{1}{2}$ 와 $2$ 을 묶습니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2^{\frac{2}{2}}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 21.6.4

$2$ 의 공약수로 약분합니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 21.6.4.1

공약수로 약분합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2^{\frac{2}{2}}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 21.6.4.2

수식을 다시 씁니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2^{1}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 21.6.5

지수값을 계산합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 22

$\frac{1}{\sqrt{2}}$ 에 $\frac{\sqrt{2}}{\sqrt{2}}$ 을 곱합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{1}{\sqrt{2}} \cdot \frac{\sqrt{2}}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 23

분모를 결합하고 간단히 합니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 23.1

$\frac{1}{\sqrt{2}}$ 에 $\frac{\sqrt{2}}{\sqrt{2}}$ 을 곱합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{\sqrt{2} \sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 23.2

$\sqrt{2}$ 를 $1$ 승 합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{{\sqrt{2}}^{1} \sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 23.3

$\sqrt{2}$ 를 $1$ 승 합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{{\sqrt{2}}^{1} {\sqrt{2}}^{1}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 23.4

지수 법칙 $a^{m} a^{n} = a^{m + n}$ 을 이용하여 지수를 합칩니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{{\sqrt{2}}^{1 + 1}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 23.5

$1$ 를 $1$ 에 더합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{{\sqrt{2}}^{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 23.6

${\sqrt{2}}^{2}$ 을 $2$ 로 바꿔 씁니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 23.6.1

$\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ 을(를) 사용하여 $\sqrt{2}$ 을(를) $2^{\frac{1}{2}}$ (으)로 다시 씁니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{{(2^{\frac{1}{2}})}^{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 23.6.2

멱의 법칙을 적용하여 ${(a^{m})}^{n} = a^{m n}$ 과 같이 지수를 곱합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2^{\frac{1}{2} \cdot 2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 23.6.3

$\frac{1}{2}$ 와 $2$ 을 묶습니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2^{\frac{2}{2}}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 23.6.4

$2$ 의 공약수로 약분합니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 23.6.4.1

공약수로 약분합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2^{\frac{2}{2}}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 23.6.4.2

수식을 다시 씁니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2^{1}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 23.6.5

지수값을 계산합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 24

분자에 분모의 역수를 곱합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - (0.5 \frac{\sqrt{1.5}}{2}) & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 25

$0.5$ 의 공약수로 약분합니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 25.1

$2$ 에서 $0.5$ 를 인수분해합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - (0.5 \frac{\sqrt{1.5}}{0.5 (4)}) & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 25.2

공약수로 약분합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - (0.5 \frac{\sqrt{1.5}}{0.5 \cdot 4}) & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 25.3

수식을 다시 씁니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 26

분자에 분모의 역수를 곱합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - (0.5 \frac{\sqrt{1.5}}{2}) & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 27

$0.5$ 의 공약수로 약분합니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 27.1

$2$ 에서 $0.5$ 를 인수분해합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - (0.5 \frac{\sqrt{1.5}}{0.5 (4)}) & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 27.2

공약수로 약분합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - (0.5 \frac{\sqrt{1.5}}{0.5 \cdot 4}) & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 27.3

수식을 다시 씁니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 28

$\frac{1}{\sqrt{1.5}}$ 에 $\frac{\sqrt{1.5}}{\sqrt{1.5}}$ 을 곱합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & \frac{1}{\sqrt{1.5}} \cdot \frac{\sqrt{1.5}}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 29

분모를 결합하고 간단히 합니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 29.1

$\frac{1}{\sqrt{1.5}}$ 에 $\frac{\sqrt{1.5}}{\sqrt{1.5}}$ 을 곱합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{1.5}}{\sqrt{1.5} \sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 29.2

$\sqrt{1.5}$ 를 $1$ 승 합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{1.5}}{{\sqrt{1.5}}^{1} \sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 29.3

$\sqrt{1.5}$ 를 $1$ 승 합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{1.5}}{{\sqrt{1.5}}^{1} {\sqrt{1.5}}^{1}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 29.4

지수 법칙 $a^{m} a^{n} = a^{m + n}$ 을 이용하여 지수를 합칩니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{1.5}}{{\sqrt{1.5}}^{1 + 1}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 29.5

$1$ 를 $1$ 에 더합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{1.5}}{{\sqrt{1.5}}^{2}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 29.6

${\sqrt{1.5}}^{2}$ 을 $1.5$ 로 바꿔 씁니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 29.6.1

$\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ 을(를) 사용하여 $\sqrt{1.5}$ 을(를) ${1.5}^{\frac{1}{2}}$ (으)로 다시 씁니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{1.5}}{{({1.5}^{\frac{1}{2}})}^{2}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 29.6.2

멱의 법칙을 적용하여 ${(a^{m})}^{n} = a^{m n}$ 과 같이 지수를 곱합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{1.5}}{{1.5}^{\frac{1}{2} \cdot 2}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 29.6.3

$\frac{1}{2}$ 와 $2$ 을 묶습니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{1.5}}{{1.5}^{\frac{2}{2}}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 29.6.4

$2$ 의 공약수로 약분합니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 29.6.4.1

공약수로 약분합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{1.5}}{{1.5}^{\frac{2}{2}}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 29.6.4.2

수식을 다시 씁니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{1.5}}{{1.5}^{1}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 29.6.5

지수값을 계산합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & \frac{\sqrt{1.5}}{1.5} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 30

근호를 계산합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & \frac{1.22474487}{1.5} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 31

$1.22474487$ 을 $1.5$ 로 나눕니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & 0.81649658 \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 32

$\frac{1}{\sqrt{3}}$ 에 $\frac{\sqrt{3}}{\sqrt{3}}$ 을 곱합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & 0.81649658 \\ \frac{1}{\sqrt{3}} \cdot \frac{\sqrt{3}}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 33

분모를 결합하고 간단히 합니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 33.1

$\frac{1}{\sqrt{3}}$ 에 $\frac{\sqrt{3}}{\sqrt{3}}$ 을 곱합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & 0.81649658 \\ \frac{\sqrt{3}}{\sqrt{3} \sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 33.2

$\sqrt{3}$ 를 $1$ 승 합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & 0.81649658 \\ \frac{\sqrt{3}}{{\sqrt{3}}^{1} \sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 33.3

$\sqrt{3}$ 를 $1$ 승 합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & 0.81649658 \\ \frac{\sqrt{3}}{{\sqrt{3}}^{1} {\sqrt{3}}^{1}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 33.4

지수 법칙 $a^{m} a^{n} = a^{m + n}$ 을 이용하여 지수를 합칩니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & 0.81649658 \\ \frac{\sqrt{3}}{{\sqrt{3}}^{1 + 1}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 33.5

$1$ 를 $1$ 에 더합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & 0.81649658 \\ \frac{\sqrt{3}}{{\sqrt{3}}^{2}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 33.6

${\sqrt{3}}^{2}$ 을 $3$ 로 바꿔 씁니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 33.6.1

$\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ 을(를) 사용하여 $\sqrt{3}$ 을(를) $3^{\frac{1}{2}}$ (으)로 다시 씁니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & 0.81649658 \\ \frac{\sqrt{3}}{{(3^{\frac{1}{2}})}^{2}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 33.6.2

멱의 법칙을 적용하여 ${(a^{m})}^{n} = a^{m n}$ 과 같이 지수를 곱합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & 0.81649658 \\ \frac{\sqrt{3}}{3^{\frac{1}{2} \cdot 2}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 33.6.3

$\frac{1}{2}$ 와 $2$ 을 묶습니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & 0.81649658 \\ \frac{\sqrt{3}}{3^{\frac{2}{2}}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 33.6.4

$2$ 의 공약수로 약분합니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 33.6.4.1

공약수로 약분합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & 0.81649658 \\ \frac{\sqrt{3}}{3^{\frac{2}{2}}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 33.6.4.2

수식을 다시 씁니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & 0.81649658 \\ \frac{\sqrt{3}}{3^{1}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 33.6.5

지수값을 계산합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & 0.81649658 \\ \frac{\sqrt{3}}{3} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 34

$\frac{1}{\sqrt{3}}$ 에 $\frac{\sqrt{3}}{\sqrt{3}}$ 을 곱합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & 0.81649658 \\ \frac{\sqrt{3}}{3} & \frac{1}{\sqrt{3}} \cdot \frac{\sqrt{3}}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 35

분모를 결합하고 간단히 합니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 35.1

$\frac{1}{\sqrt{3}}$ 에 $\frac{\sqrt{3}}{\sqrt{3}}$ 을 곱합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & 0.81649658 \\ \frac{\sqrt{3}}{3} & \frac{\sqrt{3}}{\sqrt{3} \sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 35.2

$\sqrt{3}$ 를 $1$ 승 합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & 0.81649658 \\ \frac{\sqrt{3}}{3} & \frac{\sqrt{3}}{{\sqrt{3}}^{1} \sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 35.3

$\sqrt{3}$ 를 $1$ 승 합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & 0.81649658 \\ \frac{\sqrt{3}}{3} & \frac{\sqrt{3}}{{\sqrt{3}}^{1} {\sqrt{3}}^{1}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 35.4

지수 법칙 $a^{m} a^{n} = a^{m + n}$ 을 이용하여 지수를 합칩니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & 0.81649658 \\ \frac{\sqrt{3}}{3} & \frac{\sqrt{3}}{{\sqrt{3}}^{1 + 1}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 35.5

$1$ 를 $1$ 에 더합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & 0.81649658 \\ \frac{\sqrt{3}}{3} & \frac{\sqrt{3}}{{\sqrt{3}}^{2}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 35.6

${\sqrt{3}}^{2}$ 을 $3$ 로 바꿔 씁니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 35.6.1

$\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ 을(를) 사용하여 $\sqrt{3}$ 을(를) $3^{\frac{1}{2}}$ (으)로 다시 씁니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & 0.81649658 \\ \frac{\sqrt{3}}{3} & \frac{\sqrt{3}}{{(3^{\frac{1}{2}})}^{2}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 35.6.2

멱의 법칙을 적용하여 ${(a^{m})}^{n} = a^{m n}$ 과 같이 지수를 곱합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & 0.81649658 \\ \frac{\sqrt{3}}{3} & \frac{\sqrt{3}}{3^{\frac{1}{2} \cdot 2}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 35.6.3

$\frac{1}{2}$ 와 $2$ 을 묶습니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & 0.81649658 \\ \frac{\sqrt{3}}{3} & \frac{\sqrt{3}}{3^{\frac{2}{2}}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 35.6.4

$2$ 의 공약수로 약분합니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 35.6.4.1

공약수로 약분합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & 0.81649658 \\ \frac{\sqrt{3}}{3} & \frac{\sqrt{3}}{3^{\frac{2}{2}}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 35.6.4.2

수식을 다시 씁니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & 0.81649658 \\ \frac{\sqrt{3}}{3} & \frac{\sqrt{3}}{3^{1}} & \frac{1}{\sqrt{3}} \end{array}]$

단계 35.6.5

지수값을 계산합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & 0.81649658 \\ \frac{\sqrt{3}}{3} & \frac{\sqrt{3}}{3} & \frac{1}{\sqrt{3}} \end{array}]$

단계 36

$\frac{1}{\sqrt{3}}$ 에 $\frac{\sqrt{3}}{\sqrt{3}}$ 을 곱합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & 0.81649658 \\ \frac{\sqrt{3}}{3} & \frac{\sqrt{3}}{3} & \frac{1}{\sqrt{3}} \cdot \frac{\sqrt{3}}{\sqrt{3}} \end{array}]$

단계 37

분모를 결합하고 간단히 합니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 37.1

$\frac{1}{\sqrt{3}}$ 에 $\frac{\sqrt{3}}{\sqrt{3}}$ 을 곱합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & 0.81649658 \\ \frac{\sqrt{3}}{3} & \frac{\sqrt{3}}{3} & \frac{\sqrt{3}}{\sqrt{3} \sqrt{3}} \end{array}]$

단계 37.2

$\sqrt{3}$ 를 $1$ 승 합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & 0.81649658 \\ \frac{\sqrt{3}}{3} & \frac{\sqrt{3}}{3} & \frac{\sqrt{3}}{{\sqrt{3}}^{1} \sqrt{3}} \end{array}]$

단계 37.3

$\sqrt{3}$ 를 $1$ 승 합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & 0.81649658 \\ \frac{\sqrt{3}}{3} & \frac{\sqrt{3}}{3} & \frac{\sqrt{3}}{{\sqrt{3}}^{1} {\sqrt{3}}^{1}} \end{array}]$

단계 37.4

지수 법칙 $a^{m} a^{n} = a^{m + n}$ 을 이용하여 지수를 합칩니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & 0.81649658 \\ \frac{\sqrt{3}}{3} & \frac{\sqrt{3}}{3} & \frac{\sqrt{3}}{{\sqrt{3}}^{1 + 1}} \end{array}]$

단계 37.5

$1$ 를 $1$ 에 더합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & 0.81649658 \\ \frac{\sqrt{3}}{3} & \frac{\sqrt{3}}{3} & \frac{\sqrt{3}}{{\sqrt{3}}^{2}} \end{array}]$

단계 37.6

${\sqrt{3}}^{2}$ 을 $3$ 로 바꿔 씁니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 37.6.1

$\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ 을(를) 사용하여 $\sqrt{3}$ 을(를) $3^{\frac{1}{2}}$ (으)로 다시 씁니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & 0.81649658 \\ \frac{\sqrt{3}}{3} & \frac{\sqrt{3}}{3} & \frac{\sqrt{3}}{{(3^{\frac{1}{2}})}^{2}} \end{array}]$

단계 37.6.2

멱의 법칙을 적용하여 ${(a^{m})}^{n} = a^{m n}$ 과 같이 지수를 곱합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & 0.81649658 \\ \frac{\sqrt{3}}{3} & \frac{\sqrt{3}}{3} & \frac{\sqrt{3}}{3^{\frac{1}{2} \cdot 2}} \end{array}]$

단계 37.6.3

$\frac{1}{2}$ 와 $2$ 을 묶습니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & 0.81649658 \\ \frac{\sqrt{3}}{3} & \frac{\sqrt{3}}{3} & \frac{\sqrt{3}}{3^{\frac{2}{2}}} \end{array}]$

단계 37.6.4

$2$ 의 공약수로 약분합니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 37.6.4.1

공약수로 약분합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & 0.81649658 \\ \frac{\sqrt{3}}{3} & \frac{\sqrt{3}}{3} & \frac{\sqrt{3}}{3^{\frac{2}{2}}} \end{array}]$

단계 37.6.4.2

수식을 다시 씁니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & 0.81649658 \\ \frac{\sqrt{3}}{3} & \frac{\sqrt{3}}{3} & \frac{\sqrt{3}}{3^{1}} \end{array}]$

단계 37.6.5

지수값을 계산합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & 0.81649658 \\ \frac{\sqrt{3}}{3} & \frac{\sqrt{3}}{3} & \frac{\sqrt{3}}{3} \end{array}]$

단계 38

$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} & - \frac{\sqrt{1.5}}{4} & \frac{4 \sqrt{3}}{3} \\ 0 & 0.81649658 & \frac{4 \sqrt{3}}{3} \end{array}] [\begin{array}{c} - \frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2} & 0 \\ - \frac{\sqrt{1.5}}{4} & - \frac{\sqrt{1.5}}{4} & 0.81649658 \\ \frac{\sqrt{3}}{3} & \frac{\sqrt{3}}{3} & \frac{\sqrt{3}}{3} \end{array}]$ 을 곱합니다.

자세한 풀이 단계를 보려면 여기를 누르십시오...

단계 38.1

첫 번째 행렬의 열 수가 두 번째 행렬의 행 수와 같은 경우에만 두 행렬을 곱할 수 있습니다. 이 경우 첫 번째 행렬은 $3 \times 3$ 이고 두 번째 행렬은 $3 \times 3$ 입니다.

단계 38.2

첫 번째 행렬의 각 행에 두 번째 행렬의 각 열을 곱합니다.

$[\begin{array}{c} - \frac{\sqrt{2}}{2} (- \frac{\sqrt{2}}{2}) - \frac{\sqrt{1.5}}{4} (- \frac{\sqrt{1.5}}{4}) + \frac{4 \sqrt{3}}{3} \cdot \frac{\sqrt{3}}{3} & - \frac{\sqrt{2}}{2} \cdot \frac{\sqrt{2}}{2} - \frac{\sqrt{1.5}}{4} (- \frac{\sqrt{1.5}}{4}) + \frac{4 \sqrt{3}}{3} \cdot \frac{\sqrt{3}}{3} & - \frac{\sqrt{2}}{2} \cdot 0 - \frac{\sqrt{1.5}}{4} \cdot 0.81649658 + \frac{4 \sqrt{3}}{3} \cdot \frac{\sqrt{3}}{3} \\ \frac{\sqrt{2}}{2} (- \frac{\sqrt{2}}{2}) - \frac{\sqrt{1.5}}{4} (- \frac{\sqrt{1.5}}{4}) + \frac{4 \sqrt{3}}{3} \cdot \frac{\sqrt{3}}{3} & \frac{\sqrt{2}}{2} \cdot \frac{\sqrt{2}}{2} - \frac{\sqrt{1.5}}{4} (- \frac{\sqrt{1.5}}{4}) + \frac{4 \sqrt{3}}{3} \cdot \frac{\sqrt{3}}{3} & \frac{\sqrt{2}}{2} \cdot 0 - \frac{\sqrt{1.5}}{4} \cdot 0.81649658 + \frac{4 \sqrt{3}}{3} \cdot \frac{\sqrt{3}}{3} \\ 0 (- \frac{\sqrt{2}}{2}) + 0.81649658 (- \frac{\sqrt{1.5}}{4}) + \frac{4 \sqrt{3}}{3} \cdot \frac{\sqrt{3}}{3} & 0 \frac{\sqrt{2}}{2} + 0.81649658 (- \frac{\sqrt{1.5}}{4}) + \frac{4 \sqrt{3}}{3} \cdot \frac{\sqrt{3}}{3} & 0 \cdot 0 + 0.81649658 \cdot 0.81649658 + \frac{4 \sqrt{3}}{3} \cdot \frac{\sqrt{3}}{3} \end{array}]$

단계 38.3

모든 식을 전개하여 행렬의 각 원소를 간단히 합니다.

$[\begin{array}{c} 1.92708\overline{3} & 0.92708\overline{3} & 1.08333333 \\ 0.92708\overline{3} & 1.92708\overline{3} & 1.08333333 \\ 1.08333333 & 1.08333333 & 2 \end{array}]$