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

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 $

*x*

^{2}= 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.

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