# How would you simplify sqrt 2 div sqrt6?

Jan 26, 2016

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

#### Explanation:

$\sqrt{2} : \sqrt{6} = \sqrt{\frac{2}{6}} = \sqrt{\frac{1}{3}}$

Usually, we don't use square roots below dividing signs.

If you multiply the result by $\frac{\sqrt{3}}{\sqrt{3}}$ (which is 1!)

we obtain

$\sqrt{\frac{3}{9}} = \frac{\sqrt{3}}{3}$