Finite Math Examples

$\frac{- 5 \sqrt{- 15}}{4}$

Step 1

Pull out imaginary unit $i$ .

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Step 1.1

Rewrite $- 15$ as $- 1 (15)$ .

$\frac{- 5 \sqrt{- 1 (15)}}{4}$

Step 1.2

Rewrite $\sqrt{- 1 (15)}$ as $\sqrt{- 1} \cdot \sqrt{15}$ .

$\frac{- 5 (\sqrt{- 1} \cdot \sqrt{15})}{4}$

Step 1.3

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

$\frac{- 5 (i \cdot \sqrt{15})}{4}$

Step 2

Move the negative in front of the fraction.

$- \frac{5 i \sqrt{15}}{4}$