Question

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

Answer 1

`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)`