Trigonometry Examples

$\sqrt{{6.893}^{2} - {9.212}^{2}}$

Step 1

Simplify the expression.

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Step 1.1

Raise $6.893$ to the power of $2$ .

$\sqrt{47.513449 - {9.212}^{2}}$

Step 1.2

Raise $9.212$ to the power of $2$ .

$\sqrt{47.513449 - 1 \cdot 84.860944}$

Step 1.3

Multiply $- 1$ by $84.860944$ .

$\sqrt{47.513449 - 84.860944}$

Step 1.4

Subtract $84.860944$ from $47.513449$ .

$\sqrt{- 37.347495}$

Step 2

Rewrite $- 37.347495$ as $- 1 (37.347495)$ .

$\sqrt{- 1 (37.347495)}$

Step 3

Rewrite $\sqrt{- 1 (37.347495)}$ as $\sqrt{- 1} \cdot \sqrt{37.347495}$ .

$\sqrt{- 1} \cdot \sqrt{37.347495}$

Step 4

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

$i \sqrt{37.347495}$