Question

Find the cube root of 17576 through estimation.

Answer 1

The given number is 17576.

Step-1: Form groups of three starting from the right most digit of 17576.
17 576. 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 at its one's place.
We take the one's place of the required cube root as 6.

Step-3: Take the other group, i.e., 17.
Cube of 2 is 8 and cube of 3 is 27. 17 lies between 8 and 27.
The smaller number among 2 and 3 is 2.
The one's place of 2 is 2 itself. Take 2 as ten's place of the cube Root of 17576.
$\text{Thus,}\sqrt[3]{317576}=26$