Trigonometry Examples

$\frac{\sqrt{- 60}}{\sqrt{10}}$

Step 1

Pull out imaginary unit $i$ .

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Step 1.1

Rewrite $- 60$ as $- 1 (60)$ .

$\frac{\sqrt{- 1 (60)}}{\sqrt{10}}$

Step 1.2

Rewrite $\sqrt{- 1 (60)}$ as $\sqrt{- 1} \cdot \sqrt{60}$ .

$\frac{\sqrt{- 1} \cdot \sqrt{60}}{\sqrt{10}}$

Step 1.3

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

$\frac{i \cdot \sqrt{60}}{\sqrt{10}}$

Step 2

Combine $\sqrt{60}$ and $\sqrt{10}$ into a single radical.

$i \cdot \sqrt{\frac{60}{10}}$

Step 3

Divide $60$ by $10$ .

$i \sqrt{6}$