How do you simplify $4 \sqrt{20}$ $4 sqrt20$ ?

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Answer 1 · 2018-04-16T20:16:19

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

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:

$4 \sqrt{20} = 4 \sqrt{4 \times 5} = 4 \sqrt{4} \sqrt{5}$ $4sqrt(20)=4sqrt(4xx5)=4sqrt(4)sqrt(5)$

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

$\Rightarrow 4 (2) \sqrt{5}$ $rArr 4(2)sqrt(5)$

$\Rightarrow 8 \sqrt{5}$ $color(green)(rArr 8sqrt(5)$

How do you simplify 4√204 sqrt20?