Question

Simplify the expression. assume that all variables are real numbers.?
3√64(x+2)^3

Answer 1

(4x+8)^3

Answer 2

how did you get that answer though? I cant seem to get the break down of it.

Answer 3

So we start here: 3√64(x+2)^3
3√64 = 4
so... 4(x+2)^3
Then expanding (x+2)^3 and multiplying it by 4
4x^3+24x^2+48x+32
Then you could find roots from there if you need those, the cubed root, is that only for the 64 or does that go over the (x+2) as well? If the cubed root was √(64(x+2)^3) then you would get a different answer then what I showed above.

Answer 4

so then it would be 4x+2 because the 3s cancel out. correct.

Answer 5

3√(64(x+2)^3)

^^If that is your equation, then the 64 goes to 4, so you get

4(x+2), then just distribute the 4 to get 4x+8