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

1 Answer
Mar 15, 2018

Answer:

#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.