(C) The largest $5$-digit number is $99999$.To find the largest perfect square of $5$ digits,we calculate the square root of $99999$ by the long divis

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(C) The largest $5$-digit number is $99999$.To find the largest perfect square of $5$ digits,we calculate the square root of $99999$ by the long division method.$\sqrt{99999} \approx 316.22$.Taking the integer part,we have $316$.The largest $5$-digit perfect square is $(316)^{2} = 99856$.