# How do you write this complex number as an imaginary number?

## $\sqrt{- \frac{4}{16}}$

Mar 4, 2017

$= \frac{i}{2}$

#### Explanation:

$\sqrt{- \frac{4}{16}}$

$= \sqrt{- 1 \cdot \frac{1}{4}}$

$= \sqrt{- 1} \sqrt{\frac{1}{4}}$

$= \frac{i}{2}$