Question

how do i break down the cube root of 108

Answer 1

The number 108 equals 2*2*3*3*3
We see that it has 3 three's and so we can take those 3 three's and place those outside of the cube root function as one 3.
cube root (108) =
cube root (2*2*3*3*3) =
3 * cube root (4)