Trigonometry Examples

$\sqrt{{3.193}^{2} - {6.664}^{2}}$

Step 1

Simplify the expression.

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Step 1.1

Raise $3.193$ to the power of $2$ .

$\sqrt{10.195249 - {6.664}^{2}}$

Step 1.2

Raise $6.664$ to the power of $2$ .

$\sqrt{10.195249 - 1 \cdot 44.408896}$

Step 1.3

Multiply $- 1$ by $44.408896$ .

$\sqrt{10.195249 - 44.408896}$

Step 1.4

Subtract $44.408896$ from $10.195249$ .

$\sqrt{- 34.213647}$

Step 2

Rewrite $- 34.213647$ as $- 1 (34.213647)$ .

$\sqrt{- 1 (34.213647)}$

Step 3

Rewrite $\sqrt{- 1 (34.213647)}$ as $\sqrt{- 1} \cdot \sqrt{34.213647}$ .

$\sqrt{- 1} \cdot \sqrt{34.213647}$

Step 4

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

$i \sqrt{34.213647}$