What is 2(times square root of 2)^3?

1 Answer
Sep 12, 2015

Answer:

#16sqrt2#

Explanation:

I'm assuming you meant #(2sqrt2)^3#.

All you have to do with this one is separate the terms and multiply them separately:

#(2sqrt2)^3 = (2)^3*(sqrt2)^3 = 8*sqrt8#

How do you simplify #sqrt8# ?
#sqrt8 = sqrt4*sqrt2=2*sqrt2#

Back to the answer:
#8sqrt8=8*2sqrt2=16sqrt2#

Final Answer