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