Question #dcd3f

1 Answer
May 8, 2017

13sqrt5

Explanation:

First, simplify the radicals:
4sqrt(4 xx 5) + 3sqrt(9 xx 5) - 2sqrt(4 xx 5)

Next, take out the perfect squares (which are 4 and 9):
4(2)sqrt5 + 3(3)sqrt5 - 2(2)sqrt5

Multiply:
8sqrt5 + 9sqrt5 - 4sqrt5

Add and subtract:
13sqrt5