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

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

Grade:12

1 Answers

Anand Kumar Pandey
askIITians Faculty 5608 Points
5 months ago
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

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