# How do you simplify sqrt2/sqrt18?

Jan 26, 2016

Remove common factors.

#### Explanation:

There are actually two ways to simplify this.

The first is to factor the denominator
$\frac{\sqrt{2}}{\sqrt{18}} = \frac{\sqrt{2}}{\sqrt{9 \cdot 2}} = \frac{\cancel{\sqrt{2}}}{\sqrt{9} \cdot \cancel{\sqrt{2}}} = \frac{1}{3}$

The second is put the whole expression under one square root.

$\frac{\sqrt{2}}{\sqrt{18}} = \sqrt{\frac{2}{18}} = \sqrt{\frac{1}{9}} = \frac{1}{3}$