Precalculus Examples

$\sqrt{\frac{- 9}{4}}$

Step 1

Move the negative in front of the fraction.

$\sqrt{- \frac{9}{4}}$

Step 2

Rewrite $- \frac{9}{4}$ as ${(\frac{3 i}{2})}^{2}$ .

$\sqrt{{(\frac{3 i}{2})}^{2}}$

Step 3

Pull terms out from under the radical, assuming positive real numbers.

$\frac{3 i}{2}$