Question #dcd3f

1 Answer
jess_r
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#

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