How do you simplify $6sqrt20$ ?

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Answer 1 · 2018-03-29T00:49:02

$6 sqrt(20)=12 sqrt(5)$

Given:

The radical expression $6 sqrt(20)$ can be simplified.

Note that $color(blue)(sqrt(mn) = sqrt(m) * sqrt(n)$

Write $sqrt(20) = sqrt(4*5)$

And, $sqrt(4) = 2$

Hence,

$6sqrt(20)=6sqrt(4*5)$

$rArr 6*2*sqrt(5)$

$rArr 12 sqrt(5)$

Hence,

$6 sqrt(20)=12 sqrt(5)$ .

How do you simplify 6sqrt206sqrt20?