How do you simplify #5sqrt3-√12#?

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Answer 1 · 2016-05-10T00:49:57

#5sqrt 3-sqrt 12=color(blue)(3sqrt3)#

#5sqrt 3-sqrt 12#

Write the prime factors of #12#.

#5sqrt 3-sqrt(2xx2xx3)#

#5sqrt 3-sqrt(2^2xx3)#

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

#5sqrt 3-2sqrt 3#

Simplify.

#3sqrt 3#