# How do you simplify sqrt5 / sqrt6?

Oct 4, 2016

You have to rationalize by multiplying the numerator and denominator by $\sqrt{6}$ which results in

$\frac{\sqrt{30}}{6}$

#### Explanation:

$\frac{\sqrt{5}}{\sqrt{6}} \cdot \frac{\sqrt{6}}{\sqrt{6}} = \frac{\sqrt{5 \cdot 6}}{\sqrt{6 \cdot 6}} = \frac{\sqrt{30}}{\sqrt{36}} = \frac{\sqrt{30}}{6}$?