Question

The student of class 8 of a school donated rs. 2401 in all, for prime ministers National relief. Find each student donated as many rupees as the number of students in the class. find the number of students in the class.

Answer 1

Prime factorization method for square roots:
1.First of all find the prime factors of the given number.
2.Arrange the factor in pairs such that the two primes in each pair are equal.
3.Take one number from each pair and multiply all such numbers.
4. The product obtained in step 3 is the required square root of the given number.


==========================================================
Solution:
We need to calculate the square root of 2401 to get the solution.

By prime factorization of 2401, we get

2401 = 7 x 7 x 7 x 7
√2401= 49

There are 49 students, each contributing 49 rupees.
Hence, the number of students in the class= 49

Answer 2

${\huge{\fcolorbox{cyan}{lime}{\fcolorbox{yellow}{blue}{\sf{\color{yellow}{QuesTion:- }}}}}}$

The students of class VIII of a school donated £2401 in all, for Prime minister's National Relief Fund. Each student donated as many rupees as the number of students in the class. Find the number of students in the class.

$</p><p>{\huge{\fcolorbox{fuchsia}{lime}{\fcolorbox{yellow}{blue}{\sf{\color{yellow}{AnsWer:- }}}}}}$

Let X be the no. of students in the class + Total money donated by them.

$\implies \tt{x \times x = 2401}$

$\implies \tt{ {x}^{2} = 2401}$

$\implies \tt{ x = \sqrt{2401} }$

$\implies \tt{ x = 7 \times 7 \times 7 \times 7 }$

$\implies \tt{ x = {7}^{2} }$

$\implies \tt{ x = {49}}$

Number of students in class is 49.