How do you simplify #2sqrt12 + 4sqrt27#?

1 Answer
Apr 13, 2015

The answer is #16sqrt3# .

In order to add numbers including square roots, the radicands (numbers under the radical) must be the same.

Simplify #2sqrt 12+4sqrt 27#.

Factor the square roots.

#2(sqrt(4)*sqrt(3))+4(sqrt(9)*sqrt(3))# =

Simplify the square roots.

#2*2sqrt3+4*3sqrt3# =

#4sqrt3+12sqrt3# =

#16sqrt3#