Trigonometry Examples

$\sqrt{\frac{22.1 (1 - 22.1)}{15}}$

Step 1

Simplify the expression.

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Step 1.1

Subtract $22.1$ from $1$ .

$\sqrt{\frac{22.1 \cdot - 21.1}{15}}$

Step 1.2

Multiply $22.1$ by $- 21.1$ .

$\sqrt{\frac{- 466.31}{15}}$

Step 1.3

Divide $- 466.31$ by $15$ .

$\sqrt{- 31.087\overline{3}}$

Step 2

Rewrite $- 31.087\overline{3}$ as $- 1 (31.087\overline{3})$ .

$\sqrt{- 1 (31.087\overline{3})}$

Step 3

Rewrite $\sqrt{- 1 (31.087\overline{3})}$ as $\sqrt{- 1} \cdot \sqrt{31.087\overline{3}}$ .

$\sqrt{- 1} \cdot \sqrt{31.087\overline{3}}$

Step 4

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

$i \sqrt{31.087\overline{3}}$