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Answer :
Let the number of rows and columns be x each.
So,the total number of plants =\( x \times x = x^2\)
So we can have, \(x^2 = 1000\)
\(\Rightarrow x = \sqrt{1000}\)
\(\qquad \begin{array}{c|lcr}
&31\\
\hline
3 &\;\; \;\bar{10}\bar{00}\\
&\;-9\\
\hline
61 &\;\;\; \;\;100\\
&\;\;\;\;\;61\\
\hline
&\;\;\;\;\;39\\
\hline
\end{array}
\)
We got the remainder as 39. This says that the square of 31 is less than 1000.So, the next number is 32 and \(32^2 = 1024\)
Hence the number to be added = 1024 – 1000 = 24
Thus, the minimum number of plants required by him = 24.