Simplify the expression. Show your work/thinking.
cube root of 432
The cube root of 432 can be simplified by factoring 432 into its prime factors:
432 = 2 * 2 * 2 * 2 * 3 * 3 * 3
Now we can group the prime factors in groups of 3 to simplify the cube root:
cube root of 432 = cube root of (2 * 2 * 2) * (2 * 3 * 3) * (3)
cube root of 432 = 2 * 3 * cube root of 3
cube root of 432 = 6 * cube root of 3
So, the simplified expression for the cube root of 432 is 6 * cube root of 3.