Find the cube root of 91125.

The cube root of 91125 is found by the following steps:

Step 1: Form groups of three starting from the rightmost digit of 91125. In this case one group i.e., 125 has three digits whereas 91 has only two digits.

Step 2: Take 125. The digit 5 is in its one’s place and only a cube of 5 can give 5. So, we take the one’s place of the required cube root as 5.

Step 3: Take the other group, i.e., 91. The Cube of 4 is 64 and the cube of 5 is 125. 91 lies between 64 and 125. The smaller number between 4 and 5 is 4. Take 4 as ten’s place of the cube root of 91125.

Thus, $\sqrt[3]{91125}=45$.