# How do you simplify 4 sqrt20?

Apr 16, 2018

This should simplify to $8 \sqrt{5}$

#### Explanation:

What we'll do is break down the term inside the radical such that there are perfect squares we can pull out of the radical entirely:

$4 \sqrt{20} = 4 \sqrt{4 \times 5} = 4 \sqrt{4} \sqrt{5}$

Now that we have separated these terms, we'll simplify and have our result!

$\Rightarrow 4 \left(2\right) \sqrt{5}$

color(green)(rArr 8sqrt(5)