Trigonometry Examples

$\sqrt{- {81.4}^{2} - {84.8}^{2}}$

Step 1

Simplify the expression.

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Step 1.1

Raise $81.4$ to the power of $2$ .

$\sqrt{- 1 \cdot 6625.96 - {84.8}^{2}}$

Step 1.2

Multiply $- 1$ by $6625.96$ .

$\sqrt{- 6625.96 - {84.8}^{2}}$

Step 1.3

Raise $84.8$ to the power of $2$ .

$\sqrt{- 6625.96 - 1 \cdot 7191.04}$

Step 1.4

Multiply $- 1$ by $7191.04$ .

$\sqrt{- 6625.96 - 7191.04}$

Step 1.5

Subtract $7191.04$ from $- 6625.96$ .

$\sqrt{- 13817}$

Step 2

Rewrite $- 13817$ as $- 1 (13817)$ .

$\sqrt{- 1 (13817)}$

Step 3

Rewrite $\sqrt{- 1 (13817)}$ as $\sqrt{- 1} \cdot \sqrt{13817}$ .

$\sqrt{- 1} \cdot \sqrt{13817}$

Step 4

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

$i \sqrt{13817}$