# How do you simplify sqrt(72a^2)/sqrt2?

Sep 30, 2016

$= 6 a$

A more concise answer is $\left\mid 6 a \right\mid$

#### Explanation:

$\frac{\sqrt{72 {a}^{2}}}{\sqrt{2}}$

Two square roots which are being divided or multiplied can be written as one:

$= \sqrt{\frac{72 {a}^{2}}{2}}$

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

$= 6 a$

[Remember that there can be two square roots.
Both are included if you write the answer as $\left\mid 6 a \right\mid$

If you have not learnt this yet, you will later...
Nice to be a step ahead!]