Find the square root of 25 by repeated subtraction method.

Find the square root of 25 by repeated subtraction method. Correct Answer 5

The sum of the first n odd natural numbers is n2. Therefore we subtract odd numbers from the square till we get 0. Therefore (i) 25-1=24; (ii) 24-3=21; (iii) 21-5=16; (iv) 16-7=9; (v) 9-9=0 Since we get 0 while subtracting the fifth odd number we know that the given number is square of 5.
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