Trigonometry Examples

$\sqrt{8^{2} - 15^{2}}$

Step 1

Simplify the expression.

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Step 1.1

Raise $8$ to the power of $2$ .

$\sqrt{64 - 15^{2}}$

Step 1.2

Raise $15$ to the power of $2$ .

$\sqrt{64 - 1 \cdot 225}$

Step 1.3

Multiply $- 1$ by $225$ .

$\sqrt{64 - 225}$

Step 1.4

Subtract $225$ from $64$ .

$\sqrt{- 161}$

Step 2

Rewrite $- 161$ as $- 1 (161)$ .

$\sqrt{- 1 (161)}$

Step 3

Rewrite $\sqrt{- 1 (161)}$ as $\sqrt{- 1} \cdot \sqrt{161}$ .

$\sqrt{- 1} \cdot \sqrt{161}$

Step 4

Rewrite $\sqrt{- 1}$ as $i$ .

$i \sqrt{161}$