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Q.

Find the cube root of 21952.

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a

28

b

18

c

38

d

48

answer is A.

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Detailed Solution

The cube root of 21952 is found by the following steps:

Step 1: Form groups of three starting from the rightmost digit of 21952. In this case one group i.e., 952 has three digits whereas 21 has only two digits.

Step 2: Take 952. The digit 2 is at its one’s place and only a cube of 8 can give 2 at the unit place. We take the one’s place of the required cube root as 8.

Step 3: Take the other group, i.e., 21. The cube of 2 is 8 and the cube of 3 is 27. 21 lies between 8 and 27. The smaller number between 2 and 3 is 2. Take 2 as ten’s place of the cube root of 21952.

Thus, 219523=28.

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