# 6sqrt2 is the simplest form of what?

Oct 13, 2015

$\sqrt{72}$

#### Explanation:

You're asked to determine what radical term can be simplified to give $6 \sqrt{2}$.

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 $6 \sqrt{2}$. Take a look at $6$, is it a perfect square by any chance?

In this case, it is. you know that

$6 = \sqrt{{6}^{2}} = \sqrt{36}$

This means that you can write

$6 \sqrt{2} = \sqrt{36} \cdot \sqrt{2}$

You know that

$\textcolor{b l u e}{\sqrt{a} \cdot \sqrt{b} = \sqrt{a \cdot b}}$

which means that you have

$6 \sqrt{2} = \sqrt{36} \cdot \sqrt{2} = \sqrt{36 \cdot 2} = \textcolor{g r e e n}{\sqrt{72}}$