# How do you simplify sqrt(2)/sqrt(8)?

Mar 2, 2017

$\frac{1}{2}$

#### Explanation:

When you are multiplying or dividing two square roots. you can combine them into one.

$\sqrt{a} \times \sqrt{b} = \sqrt{a \times b} \text{ or } \frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}$

$\frac{\sqrt{2}}{\sqrt{8}} = \sqrt{\frac{2}{8}} \text{ } \leftarrow$ now simplify

$\sqrt{\frac{2}{8}} = \sqrt{\frac{1}{4}}$

$= \frac{1}{2}$