Question

How do you simplify `4 sqrt20`?

Answer 1

This should simplify to `8sqrt(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:

`4sqrt(20)=4sqrt(4xx5)=4sqrt(4)sqrt(5)`

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

`rArr 4(2)sqrt(5)`

`color(green)(rArr 8sqrt(5)`