Q.

Find the cube root of 10648.

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a

42

b

22

c

12

d

32

answer is C.

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Detailed Solution

The cube root of 10648 is found by the following steps:

Step 1: Form groups of three starting from the rightmost digit of 10648. In this case one group i.e., 648 has three digits whereas 10 has only two digits.

Step 2: Take 648. The digit 8 is in its one’s place and only a cube of 2 gives 8. So, we take the one’s place of the required cube root as 2.

Step 3: Take the other group, i.e., 10. The Cube of 2 is 8 and the cube of 3 is 27. 10 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 10648.

Thus, 106483=22.

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