What is the square root of 27 plus the square root of 75?

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Answer 1 · 2015-07-14T15:29:20

#sqrt(27)+sqrt(75)=8sqrt(3)#

If #a, b >= 0# then #sqrt(ab) = sqrt(a)sqrt(b)#

#sqrt(27)+sqrt(75)#

#=sqrt(3^2*3)+sqrt(5^2*3)#

#=sqrt(3^2)sqrt(3)+sqrt(5^2)sqrt(3)#

#=3sqrt(3)+5sqrt(3)#

#=(3+5)sqrt(3)#

#=8sqrt(3)#