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(C) The largest three-digit number is $999$.To find the largest perfect square of three digits,we find the square root of $999$ by the long division m

Vedclass · Accepted Answer

$961$

Vedclass · Answer

(C) The largest three-digit number is $999$.To find the largest perfect square of three digits,we find the square root of $999$ by the long division method:$\begin{array}{l|l} \hline & 31 \ \hline 3 & 999 \ \hline & 9 \ \hline 61 & 099 \ & 61 \ \hline & 38 \end{array}$Since the remainder is $38$,the largest perfect square less than $999$ is obtained by subtracting the remainder from $999$,or simply by squaring the quotient $31$.$(31)^2 = 961$.Therefore,the largest three-digit perfect square is $961$.

The largest number of three digits which is a perfect square is

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