Question

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

Answer 1

`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