How do you simplify #4 sqrt20#?

1 Answer
Ben
Apr 16, 2018

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)#

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