How To Find A Cube Root

Consider a situation where one has a box with identical sides whose length of the side has to be determined given the space, the volume, it occupies. This is a common case in designing cubical water tanks. First, the desired capacity of water to be supplied is identified. Then, based on the identified capacity, the length of the cubical tank that would carry such capacity is computed. The process of determining the length of the side of the cube is the process of determining the cube root

For instance, since 2 2 2=2³=8, then the cube root of 8=2³ is 2 and is denoted

8= (2³ )=2.

From the example above, we found that the cube root of 8 has a close relation with 2³, its prime factorization. This implies that for one to determine the cube root, one has to determine the prime factorization of the number. To compute the cube root from the prime factorization, we divide the powers of the factors by three.