# How do you rationalize the denominator and simplify  sqrt30/sqrt5?

Sep 3, 2016

The value of this expression is $\sqrt{6}$. See explanation.

#### Explanation:

You can easily see that $30 = 5 \cdot 6$, so

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

Sep 3, 2016

$\sqrt{6}$

#### Explanation:

We have: $\frac{\sqrt{30}}{\sqrt{5}}$

Let's begin by expressing the numerator as a product of two radicals:

$= \frac{\sqrt{6} \times \sqrt{5}}{\sqrt{5}}$

We can then simlify this expression by cancelling the $\sqrt{5}$ terms:

$= \sqrt{6}$