Question

Find the cube root of 17576 through estimation.​

Answer 1

The given number is 17576.

Step 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.

Step 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.

Step 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;$\bf\small\boxed{\red{ \sqrt[3]{17579} = 26}}$