Question
Find the greatest number of three digits that is a perfect square.
✓
Answer
Since, the greatest number of three digits is $1000$.
Now, find the square root of $1000$ by long division method.
$\begin{array}{c|c} & 31 \\ \hline3 & \overline{10\\9}\ \overline{00}\\\hline61&{100\\61}\\\hline&39\\\end{array}$
Hence, the greatest number of three digits, i.e. a perfect square $= 1000 - 39 = 961$
Now, find the square root of $1000$ by long division method.
$\begin{array}{c|c} & 31 \\ \hline3 & \overline{10\\9}\ \overline{00}\\\hline61&{100\\61}\\\hline&39\\\end{array}$
Hence, the greatest number of three digits, i.e. a perfect square $= 1000 - 39 = 961$
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