# How do you simplify sqrt(-3)/sqrt25?

Jun 12, 2016

$\frac{\sqrt{- 3}}{\sqrt{25}} = \frac{\sqrt{3}}{5} i$

#### Explanation:

$\frac{\sqrt{- 3}}{\sqrt{25}}$

= $\frac{\sqrt{3 \times \left(- 1\right)}}{\sqrt{25}}$

= $\frac{\sqrt{3} \times \sqrt{- 1}}{\sqrt{5 \times 5}}$

= $\frac{\sqrt{3} \times i}{5}$

= $\frac{\sqrt{3}}{5} i$