Trigonometry Examples

$\sqrt{5 (5 - 4) (5 - 4) (5 - 2)}$

Step 1

Raise $5 - 4$ to the power of $1$ .

$\sqrt{5 ({(5 - 4)}^{1} (5 - 4)) (5 - 2)}$

Step 2

Raise $5 - 4$ to the power of $1$ .

$\sqrt{5 ({(5 - 4)}^{1} {(5 - 4)}^{1}) (5 - 2)}$

Step 3

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\sqrt{5 {(5 - 4)}^{1 + 1} (5 - 2)}$

Step 4

Add $1$ and $1$ .

$\sqrt{5 {(5 - 4)}^{2} (5 - 2)}$

Step 5

Subtract $4$ from $5$ .

$\sqrt{5 \cdot 1^{2} (5 - 2)}$

Step 6

Subtract $2$ from $5$ .

$\sqrt{5 \cdot 1^{2} \cdot 3}$

Step 7

Multiply $3$ by $5$ .

$\sqrt{15 \cdot 1^{2}}$

Step 8

One to any power is one.

$\sqrt{15 \cdot 1}$

Step 9

Multiply $15$ by $1$ .

$\sqrt{15}$

Step 10

The result can be shown in multiple forms.

Exact Form:

$\sqrt{15}$

Decimal Form:

$3.87298334 \dots$