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Question

(C) To find the smallest number to be subtracted,we perform the long division method to find the square root of $62512$.$\begin{array}{c|ccc} & 250 &

Vedclass · Accepted Answer

$12$

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(C) To find the smallest number to be subtracted,we perform the long division method to find the square root of $62512$.$\begin{array}{c|ccc} & 250 & & \ \hline 2 & 62 & 5 & 12 \ & 4 & & \ \hline 45 & 225 & & \ & 225 & & \ \hline 50 & 0 & 12 & \end{array}$By performing the long division,we find that the remainder is $12$.If we subtract the remainder $12$ from the original number $62512$,we get $62512 - 12 = 62500$.Since $\sqrt{62500} = 250$,the number $62500$ is a perfect square.Therefore,the smallest number to be subtracted is $12$.

The smallest number which when subtracted from the number $62512$ makes it a perfect square is

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