Find the cube root of 12167.

The cube root of 12167 is found by the following steps:

Step 1: Form groups of three starting from the rightmost digit of 12167. In this case one group i.e., 167 has three digits whereas 12 has only two digits.

Step 2: Take 167. The digit 7 is in its one’s place and only a cube of 3 gives 7 at the unit place. So, we take the one’s place of the required cube root as 3.

Step 3: Take the other group, i.e., 12. The Cube of 2 is 8 and the cube of 3 is 27. 12 lies between 8 and 27. The smaller number between 2 and 3 is 2. Take 2 as ten’s place of the cube root of 12167.

Thus, $\sqrt[3]{12167}=23$.