Find the square root of $100$ by the method of repeated substraction.

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Solution

The correct option is D $10$ .
From $100$ , we substract succesive odd numbers starting from $1$ as under:
$100 - 1 = 9999 - 3 = 96$
$96 - 5 = 9191 - 7 = 84$
$84 - 9 = 7575 - 11 = 64$
$64 - 13 = 5151 - 15 = 36$
$36 - 17 = 1919 - 19 = 0$
and obtain $0$ at $10 t h$ step.
$∴ \sqrt{100} = 10$ .

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Find the square roots of 100 and 169 by the method of repeated subtraction.

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