there are 2401 students in a school.p.t.teacher wants to stand them in such a manner that number of rows and columns are the same.find the number of rows

Total number of students = 2401.

Let number of rows be x and number of columns be y.

Now, number of rows = number of columns $\Rightarrow$ x = y   ----(1)

Also, we know,

Number of rows $\times$ Number of columns = Total students

$\Rightarrow$ x $\times$ y = 2401

from (1), we get

$\Rightarrow$ x $\times$ x = 2401 $\Rightarrow$ x² = 2401

$\Rightarrow$ $x = \sqrt{2401} = \sqrt{7 \times 7 \times 7 \times 7} = 7 \times 7 = 49$

Thus, number of rows = number of columns = 49.

Hence, the answer.