Trigonometry Examples

$\sqrt{179^{2} - 250^{2}}$

Step 1

Simplify the expression.

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Step 1.1

Raise $179$ to the power of $2$ .

$\sqrt{32041 - 250^{2}}$

Step 1.2

Raise $250$ to the power of $2$ .

$\sqrt{32041 - 1 \cdot 62500}$

Step 1.3

Multiply $- 1$ by $62500$ .

$\sqrt{32041 - 62500}$

Step 1.4

Subtract $62500$ from $32041$ .

$\sqrt{- 30459}$

Step 2

Rewrite $- 30459$ as $- 1 (30459)$ .

$\sqrt{- 1 (30459)}$

Step 3

Rewrite $\sqrt{- 1 (30459)}$ as $\sqrt{- 1} \cdot \sqrt{30459}$ .

$\sqrt{- 1} \cdot \sqrt{30459}$

Step 4

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

$i \sqrt{30459}$