# How do you rationalize sqrt(x/5)?

Mar 7, 2018

See a solution process below:

#### Explanation:

First, rewrite the expression as:

$\sqrt{\frac{x}{5}} \implies \frac{\sqrt{x}}{\sqrt{5}}$

Next, multiply the fraction by the appropriate form of $1$:

$\frac{\sqrt{x}}{\sqrt{5}} \implies \frac{\sqrt{5}}{\sqrt{5}} \times \frac{\sqrt{x}}{\sqrt{5}} \implies \frac{\sqrt{5} \sqrt{x}}{\sqrt{5} \sqrt{5}} = \frac{\sqrt{5 x}}{5}$