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

1 Answer
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

rArr sqrt(6^2)*sqrt(r^2)*sqrt(s)

rArr 6*r*sqrt(s)

Hence,

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

Hope it helps.