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

1 Answer
Sep 3, 2015

Answer:

#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)#