Question

Simplify 4 ^3 square root 135

Answer 1

\[4\sqrt[3]{135?}\]

Answer 2

What are the prime factors of 135?

Answer 3

wouldn't those be 3,3,3 and 5

Answer 4

@LarsEighner

Answer 5

So what can you factor out of the cube root of 135?

Answer 6

im not so sure ... @LarsEighner

Answer 7

You can remove a perfect cube from the radical and put its root on the outside. A perfect cube is a number that is used in a multiplication three times. What factor occurs in 135 three times?

Answer 8

Well actually a perfect cube is the product of a number that is used three times in a multiplication. You have found the factors of 135 are 3,3,3,5. Which number is used 3 times?