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Q.

Find the square root of 125 using repeated subtraction.

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a

15

b

5

c

25

d

None of these

answer is D.

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Detailed Solution

Concept- In the beginning, we are subtracting 1 from 125 which results in 124, for next, we will subtract 3 from the previous resultant 124, and we will continue this process till the resultant becomes 0, and if it does not result zero at any point, that means it is not a perfect square.
Counting the steps of the process performed to get 0 as result, and this number of steps performed will be the square root of 125.
Repeated subtraction method-

125 − 1 = 124 124 − 3 = 121 121 − 5 = 116 116 − 7 = 109 109 − 9 = 100 100 − 11 = 89 89 − 13 = 76 76 − 15 = 61 61 − 17 = 44 44 − 19 = 25 25 − 21 = 4 4 − 23 = − 21

Here, we get a negative value, not a zero. Therefore, it is not a perfect square number.
Hence, the correct answer is option 4.

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