Michigan Algebra I Sept. 2012

Taking the cube root of a number is the inverse operation of cubing a number, just as adding is the inverse of subtracting. Therefore because and the operations cancel each other out. Remember from previous courses that 8 is a perfect cube because it is the product of three identical integers. Here is a list of the first six perfect cube numbers.

Memorizing the perfect cube numbers will be beneficial when simplifying radical expressions.

It is also possible to take cube roots of variables using the same process of looking for perfect cubes. For example because the operations cancel each other out.