# How do you simplify sqrt(36r^2s)?

Mar 15, 2018

color(red)(sqrt(36r^2s) = 6rsqrt(s)

#### Explanation:

Given:

color(blue)(sqrt(36r^2s)

This radical expression can be rewritten as:

sqrt(6^2*r^2*s

$\Rightarrow \sqrt{{6}^{2}} \cdot \sqrt{{r}^{2}} \cdot \sqrt{s}$

$\Rightarrow 6 \cdot r \cdot \sqrt{s}$

Hence,

color(blue)(sqrt(36r^2s) = 6rsqrt(s)

Hope it helps.