State true/false:

The cube root of 17576 is 36.

The given statement is false.

The cube root of 17576 is found by the following steps:

Step 1: Form groups of three digits starting from the rightmost digit of 17576. In this case one group i.e., 576 has three digits whereas 17 has only two digits.

Step 2: Take 576. The digit 6 is in its one’s place and only a cube of 6 can give 6 at the unit place. So, we take the one’s place of the required cube root as 6.

Step 3: Take the other group, i.e., 17. The cube of 2 is 8 and the cube of 3 is 27. 17 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 17576.

Thus, $\sqrt[3]{17576}=26$.