Basic Math Examples

$\frac{\sqrt{- 30}}{\sqrt{6}}$

Step 1

Pull out imaginary unit $i$ .

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Step 1.1

Rewrite $- 30$ as $- 1 (30)$ .

$\frac{\sqrt{- 1 (30)}}{\sqrt{6}}$

Step 1.2

Rewrite $\sqrt{- 1 (30)}$ as $\sqrt{- 1} \cdot \sqrt{30}$ .

$\frac{\sqrt{- 1} \cdot \sqrt{30}}{\sqrt{6}}$

Step 1.3

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

$\frac{i \cdot \sqrt{30}}{\sqrt{6}}$

Step 2

Combine $\sqrt{30}$ and $\sqrt{6}$ into a single radical.

$i \cdot \sqrt{\frac{30}{6}}$

Step 3

Divide $30$ by $6$ .

$i \sqrt{5}$