How do you simplify #sqrt(18a)#?

1 Answer
Alan P.
Jun 30, 2015

#sqrt(18a) = 3sqrt(2a)#

Explanation:

Factor #18a#
#color(white)("XXXX")##18a = 2*9*a#
#color(white)("XXXX")##color(white)("XXXX")##=2*3*3*a#
Collect identical factors
#color(white)("XXXX")##18a = 3^2*2*a = 3^2*2a#

#sqrt(18a) = sqrt(3^2*2a)#
#color(white)("XXXX")##=sqrt(3^2)*sqrt(2a)#

#color(white)("XXXX")##=3sqrt(2a)#

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