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What is the square root of 6 times the square root of 12?

1 Answer

Sep 3, 2015

$6sqrt2$

Explanation:

The square root of $6$ is written as : $color(red)sqrt6$
and the square root of $12$ is written as : $color(red)sqrt12$

So, the square root of $6$ times the square root of $12$ is written as : $color(red)(sqrt6*sqrt12)$

This can also be written as : $color(red)(sqrt(6*12))$

We know that $12=6*2$

So, we can write that as : $color(red)(sqrt(6*6*2))rarr sqrt(36*2)rarrcolor(blue)(6sqrt2)$

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