# How do you simplify sqrt(2x ) div sqrt(9x)?

Sep 20, 2015

$\frac{\sqrt{2}}{3}$

#### Explanation:

Rewrite in fractional form:
$\sqrt{2 x} \div \sqrt{9 x} = \frac{\sqrt{2 x}}{\sqrt{9 x}}$

Remember the rule:
$\sqrt{a b} = \sqrt{a} \sqrt{b}$

so breaking down the roots, we get:
$= \frac{\sqrt{2} \sqrt{x}}{\sqrt{9} \sqrt{x}}$

Now, $\frac{\sqrt{x}}{\sqrt{x}} = 1$ so that's gone, and $\sqrt{9} = 3$, so we end up having:
$= \frac{\sqrt{2}}{3}$