How do you add #2\sqrt { 18} + 11\sqrt { 2}#?

1 Answer
Alvin L.
Apr 2, 2018

#2sqrt18+11sqrt2=17sqrt2#

Explanation:

We can rewrite #sqrt18# as follows:
#2sqrt18+11sqrt2=2sqrt(2*9)+11sqrt2=2sqrt2sqrt9+11sqrt2=#

#=6sqrt2+11sqrt2#

Now we can factor out #sqrt2#, giving us the answer:
#=sqrt2(6+11)=sqrt2*17=17sqrt2#

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