How do you simplify #-4sqrt72#?

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Answer 1 · 2015-10-27T05:30:16

#-4sqrt 72=-24sqrt 2#

#-4sqrt 72#

Simplify.;

#-4sqrt8sqrt9#

Write the prime factors for #8# and #9#.

#-4sqrt(2xx2xx2)sqrt(3xx3)#

Simplify.

#-4sqrt(2^2xx2)sqrt(3^2)#

Apply square root rule #sqrt(4^2)=4#.

#-4xx2xx3sqrt2=#

#-24sqrt 2#