Question

$7921$ soldiers sat in an auditorium in such a way that there are as many soldiers in a row as there are rows in the auditorium. How many rows are there in the auditorium?

Answer 1

Let there are $x$ number of rows in the auditorium.

Then, according to the problem number of soldiers in a row be also $x$.

So, total number of soldiers in the auditorium = $x\times x=x^2$.

ATQ,

$x^2=7921$

$\begin{array}{cc}89& 7921\\ 89& 89\\ & 1\end{array}$

$x^2=7921=89\times 89={89}^2$.

$\Rightarrow x=89$ [Taking root on both the sides]

So, there are $89$ rows in the auditorium.