# How do you simplify: sqrt(99)?

Aug 3, 2015

I think you can write it as $3 \sqrt{11}$

#### Explanation:

You can write it as:
$\sqrt{9 \cdot 11} = \sqrt{9} \sqrt{11} = 3 \sqrt{11}$

Aug 3, 2015

=color(blue)(3sqrt11

#### Explanation:

We can prime factorise $99$ to simplify the expression:

$99$ is expressed as a product of its prime factors.

$\sqrt{99} = \sqrt{3 \cdot 3 \cdot 11}$

$= \sqrt{{3}^{2} \cdot 11}$

=color(blue)(3sqrt11