# How do you simplify sqrt(5) / sqrt(6)?

##### 1 Answer
Sep 2, 2016

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

#### Explanation:

It is not good maths practice to have a radical in the denominator.

We can get rid of it by "rationalising the denominator".

Recall that: ${\left(\sqrt{x}\right)}^{2} = \sqrt{{x}^{2}} = x$

$\frac{\sqrt{5}}{\sqrt{6}} \times \frac{\sqrt{6}}{\sqrt{6}} \text{ } \leftarrow \frac{\sqrt{6}}{\sqrt{6}} = 1$

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