8.2025 plants are to be planted in a garden in such a way that each row contains as many plants as the number of rows. Find the number of rows and the number of plants in each row.

Let the number of rows be x and x be the number of plants in each row.

∴we have total number of plants=\(x^2\) = \(\sqrt{2025}\)

\(\Rightarrow x=\sqrt{2401}\)

\(\qquad \begin{array}{c|lcr}
3 & 2025\\
\hline
3 & 675\\
\hline
3 & 225\\
\hline
3 & 75\\
\hline
5 & 25\\
\hline
5 & 5\\
\hline
& 1\\
\end{array}
\)

\(\Rightarrow \sqrt { 3\times 3\times 3\times 3\times 5\times 5 }\)

\(\Rightarrow \sqrt { { 3 }^{ 2 }\times { 3 }^{ 2 }\times { 5 }^{ 2 } }\)

\(\Rightarrow 3 \times 3 \times 5\)

\(\Rightarrow 45\)

Hence, the number of rows is 45 and the number of plants in each row is also 45