# How do you simplify sqrt270 ?

Apr 10, 2016

$\sqrt{270} = 3 \sqrt{30}$

#### Explanation:

$\sqrt{270} = \sqrt{9 \times 30}$

$\textcolor{w h i t e}{\text{XXX}} = \sqrt{{3}^{2} \times 30}$

$\textcolor{w h i t e}{\text{XXX}} = \sqrt{{3}^{2}} \times \sqrt{30}$

$\textcolor{w h i t e}{\text{XXX}} = 3 \sqrt{30}$

$\textcolor{w h i t e}{\text{XXX}} 30$ does not contain any factors which are squares
$\textcolor{w h i t e}{\text{XXX}}$and therefore $\sqrt{30}$ can not be reduced further;