Find the square root of 100 using repeated subtraction.

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100

None of these

answer is C.

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Detailed Solution

Concept- In the beginning, we are subtracting 1 from 100 which results in 99, for next, we will subtract 3 from the previous resultant 99, and we will continue this process till the resultant becomes 0.
Counting the steps of the process performed to get 0 as result, and this number of steps performed will be the square root of 100.
Repeated subtraction method-

100 - 1 = 99

99 - 3 = 96

96 - 5 = 91

91 - 7 = 84

84 - 9 = 75

75 - 11 = 64

64 - 13 = 51

51 - 15 = 36

36 - 17 = 19

19 - 19 = 0

In the beginning, we are subtracting 1 from 100 which results in 99, for next, we will subtract 3 from the previous resultant 99, and we will continue this process till the resultant becomes 0. Counting the steps of the process performed to get 0 as result, we get, 10 steps
So, 10 becomes the square root of 100.
The square root of 100 is 10.
Hence, the correct answer is option 3.

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