How do you simplify 4 square root of 27 – square root of 75?

First get some squares out from under the root

##27=3^2*3->sqrt27=sqrt(3^2)*sqrt3=3sqrt3##
##75=5^2*3->sqrt75=sqrt(5^2)*sqrt3=5sqrt3##
Answer:
##4sqrt27-sqrt75=4*3sqrt3-5sqrt3=7sqrt3##

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