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

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Answer 1 · 2015-04-13T04:31:17

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#