# How do you simplify sqrt(5/49)?

Jan 21, 2016

$\frac{\sqrt{5}}{7}$

#### Explanation:

We can use the following rule:

$\sqrt{\frac{a}{b}} = \frac{\sqrt{a}}{\sqrt{b}} \text{ "" "" } a , b \ge 0$

Thus, we have

$\sqrt{\frac{5}{49}} = \frac{\sqrt{5}}{\sqrt{49}} = \frac{\sqrt{5}}{7}$