Find the cube root of 17576 through estimation. Find the cube root of 17576 through estimation.

Dear Student

1: Form groups of three digits starting from the rightmost digit.

Here, one group has three digits i.e., 576 whereas the other group has only two digits i.e.,17.

2: Take 576.

The digit 6 is at its one’s place.
We will take here the one’s place of the required cube root as 6.

3: Take the other group, i.e., 17.

Cube of number 2 is 8 and cube of number 3 is 27.
17 lies between 8 and 27.
The smaller number between 2 and 3 is 2.
The one’s place of 2 is 2 itself.
Now, take digit 2 as ten’s place of the required cube root.

Hence, the cube root of 17576 is;

3√17576 = 26

Thanks