# #6sqrt2# is the simplest form of what?

##### 1 Answer

Oct 13, 2015

#### Explanation:

You're asked to determine what radical term can be *simplified* to give

This means that you have to reverse the process you use when trying to get radical terms to their most simple form.

So, you start with

In this case, it is. you know that

#6 = sqrt(6^2) = sqrt(36)#

This means that you can write

#6sqrt(2) = sqrt(36) * sqrt(2)#

You know that

#color(blue)(sqrt(a) * sqrt(b) = sqrt(a * b))#

which means that you have

#6sqrt(2) = sqrt(36) * sqrt(2) = sqrt(36 * 2) = color(green)(sqrt(72))#