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

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Answer 1 · 2018-03-15T00:08:44

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

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.