# How do you simplify sqrt132?

Mar 14, 2016

#### Answer:

$= 2 \sqrt{33}$

#### Explanation:

sqrt(132 can be simplified by prime factorising $132$ (expressing $132$ as a product of its prime factors.

$132 = 2 \cdot 2 \cdot 3 \cdot 11 = {2}^{2} \cdot 3 \cdot 11 = {2}^{2} \cdot 33$

$\sqrt{132} = \sqrt{{2}^{2} \cdot 33}$

$= 2 \sqrt{33}$