Question:
Find the number of plants in each row, if 1024 plants are arranged, so
that number of plants in a row is the same as the number of rows.
Solution:
Let the number of plants in each row be $x$.
Then, number of rows $=$ Number of plants in each row $=x$
$\therefore \quad$ Total plants $=x \times x=x^{2}$
According to the question,
$x^{2}=1024$
$\Rightarrow \quad x=\sqrt{1024}=\sqrt{32 \times 32}$
$\therefore \quad x=32$
Hence, there are 32 plants in each row.