Question : Find the cube root of 17576 through estimation.
Subject

Mathematics

Standard

Class 8

Views

968

Asked By

Seema

Seema
Answer / Solution

The given number is 17576.

Step 1: Form groups of three starting from the rightmost digit of 17576. i.e. 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 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. Therefore, a 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.

Thus, the cube root of 17576 is 26.


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