How do you simplify $6 \sqrt{20}$ $6sqrt20$ ?

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Answer 1 · 2018-03-29T00:49:02

$6 \sqrt{20} = 12 \sqrt{5}$ $6 sqrt(20)=12 sqrt(5)$

Given:

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

Note that $\sqrt{m n} = \sqrt{m} \cdot \sqrt{n}$ $color(blue)(sqrt(mn) = sqrt(m) * sqrt(n)$

Write $\sqrt{20} = \sqrt{4 \cdot 5}$ $sqrt(20) = sqrt(4*5)$

And, $\sqrt{4} = 2$ $sqrt(4) = 2$

Hence,

$6 \sqrt{20} = 6 \sqrt{4 \cdot 5}$ $6sqrt(20)=6sqrt(4*5)$

$\Rightarrow 6 \cdot 2 \cdot \sqrt{5}$ $rArr 6*2*sqrt(5)$

$\Rightarrow 12 \sqrt{5}$ $rArr 12 sqrt(5)$

Hence,

$6 \sqrt{20} = 12 \sqrt{5}$ $6 sqrt(20)=12 sqrt(5)$ .

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