Find the square root of 100 by the method of repeated subtraction.

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answer is C.

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Detailed Solution

Subtract successive odd numbers from the number till we obtain 0. So, the total number we subtract is the square root of the number.
So here we will subtract one by one from successive odd numbers like 1, 3, 5, 7,… until we obtain 0.
So, 100−1=99
Subtracting next odd number, 99−3=96
Subtracting next odd number, 96−5=91
Subtracting next odd number, 91−7=84
Subtracting next odd number, 84−9=75
Subtracting next odd number, 75−11=64
Subtracting next odd number, 64−13=51
Subtracting next odd number, 51−15=36
Subtracting next odd number, 36−17=19
Subtracting next odd number, 19−19=0
Since, we have subtracted 10 odd numbers then we obtained 0.
So, the square root of 100 is 10.

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