Trigonometry Examples

$\sqrt{{4.597}^{2} - {8.262}^{2}}$

Step 1

Simplify the expression.

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Step 1.1

Raise $4.597$ to the power of $2$ .

$\sqrt{21.132409 - {8.262}^{2}}$

Step 1.2

Raise $8.262$ to the power of $2$ .

$\sqrt{21.132409 - 1 \cdot 68.260644}$

Step 1.3

Multiply $- 1$ by $68.260644$ .

$\sqrt{21.132409 - 68.260644}$

Step 1.4

Subtract $68.260644$ from $21.132409$ .

$\sqrt{- 47.128235}$

Step 2

Rewrite $- 47.128235$ as $- 1 (47.128235)$ .

$\sqrt{- 1 (47.128235)}$

Step 3

Rewrite $\sqrt{- 1 (47.128235)}$ as $\sqrt{- 1} \cdot \sqrt{47.128235}$ .

$\sqrt{- 1} \cdot \sqrt{47.128235}$

Step 4

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

$i \sqrt{47.128235}$