Basic Math Examples

\sqrt{\frac{150}{3}}

$\sqrt{\frac{150}{3}}$

Step 1

Divide

150

$150$ by

3

$3$ .

\sqrt{50}

$\sqrt{50}$

Step 2

Rewrite

50

$50$ as

5^{2} \cdot 2

$5^{2} \cdot 2$ .

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Step 2.1

Factor

25

$25$ out of

50

$50$ .

\sqrt{25 (2)}

$\sqrt{25 (2)}$

Step 2.2

Rewrite

25

$25$ as

5^{2}

$5^{2}$ .

\sqrt{5^{2} \cdot 2}

$\sqrt{5^{2} \cdot 2}$

\sqrt{5^{2} \cdot 2}

$\sqrt{5^{2} \cdot 2}$

Step 3

Pull terms out from under the radical.

5 \sqrt{2}

$5 \sqrt{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

5 \sqrt{2}

$5 \sqrt{2}$

Decimal Form:

7.07106781 \dots

$7.07106781 \dots$

⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$