# How do you simplify 4/sqrt10?

Aug 10, 2016

$\frac{4}{\sqrt{10}} = \frac{\textcolor{b l u e}{2 \sqrt{10}}}{\textcolor{b l u e}{5}}$

#### Explanation:

Rationalize the denominator by multiplying the fraction by $\frac{\sqrt{10}}{\sqrt{10}}$.

$\frac{4}{\sqrt{10}} \times \frac{\sqrt{10}}{\sqrt{10}}$

Simplify.

$\frac{4 \sqrt{10}}{10}$

Simplify.

$\frac{2 \sqrt{10}}{5}$