Question

in a lecture hall 8649 students are sitting in such a manner that there are as many student in a row as there are rows in a lecture hall how many students are there in each row of the lecture hall

Answer 1

no. of students in one row = x
therefore no. of rows in the hall = x

total no. of students = no. of students in one row × no. of rows
= x × x = x²
therefore 8649 = x²
x = √8649 = 93

therefore 93 students in each row of the hall

Answer 2

Answer:

The number of students in each row = 93

Step-by-step explanation:

Given,

The total students sitting in a lecture hall = 8649

The number of students in each row = The number of rows

To find,

The number of students in each row

Solution

Let the number of student in each row be 'x'

Since the number of students in each row = The number of rows we have,

The number of rows = x

We have,

The total number of students in the lecture hall = The number of students in  a row × Total number rows

Substituting the values we get

8649 = x×x

x² = 8649

x = $\sqrt{8649}$

The prime factorization of 8649 is

8649 = 3 x 3 x 31 x 31

=  3² x31²

$\sqrt{8649}$ = $\sqrt{3^2X31^2}$

= 31x 3

= 93

x = $\sqrt{8649}$ = 93

∴The number of students in each row = 93

#SPJ3