Question

The student of class 8 of school denoted Rs.3136 in all for prime minister national relief fund each student denoted its many rs. as the number of student in the class find the number of student in the class​

Answer 1

✬ Students = 56 ✬

Step-by-step explanation:

Given:

• Students of class 8 donated Rs 3136 in prime minister relief fund.
• Each student donated as the the number of students in class.

To Find:

• Number of students in class ?

Solution: Let the number of students in the class be x. Therefore,

➟ Amount donated by each student = x

∴ Amount donated by each student = x

A/q

• Total donation = Number of students in class × Amount donated by each student.

$\implies{\rm }$ 3136 = x × x

$\implies{\rm }$ 3136 = x²

$\implies{\rm }$ √3136 = x

$\implies{\rm }$ √56 × 56 = x

$\implies{\rm }$ 56 = x

Hence, the number of students in the class is 56.

• Here the above number is square root of 56.

• When we multiply a number by the number itself then the result we get will be the square of previous number.

• For example : 2 × 2 = 4 { Here 4 is square of 2 }

Answer 2

$\huge\bf{\underbrace{\gray{GIVEN:-}}}$

• The students of class 8 of school donated Rs.3136 in all, for prime minister's national relief fund .

• Each student denoted as many rupees as the number of students in the class .

$\huge\bf{\underbrace{\gray{TO\:FIND:-}}}$

• The number of student in the class .

$\huge\bf{\underbrace{\gray{SOLUTION:-}}}$

Let,

• $\bf\red{The\:total\:number\:student\:}$ = X

• $\bf{{\red{And\:amount\:donated\:by\:each\:student}}\:=\:X}$

☯︎ According to the question,

$\green\bigstar\:\bf{\gray{\overbrace{\underbrace{\purple{Total\:donation\:=\:No.\:of\:students\:\times{Amount\:donated\:\atop{by\:each\:student}}}}}}}$

➳ 3136 = X × X

➳ X² = 3136

➳ X = √3136

➳ X = 56

$\huge\red\therefore$ The number of students in the class is "56" .

__________________________

TO FIND → √3136 :-

$\bf\begin{array}{r | 1} 2 & 3136 \\ \cline{2 - 2} 2 & 1568 \\ \cline{2 - 2} 2 & 784 \\ \cline{2 - 2} 2 & 392 \\ \cline{2 - 2} 2 & 196 \\ \cline{2 - 2} 2 & 98 \\ \cline{2 - 2} 7 & 49 \\ \cline{2 - 2} & 7 \end{array}$

Thus,

$\bf\red{3136}$ = $\bf{{\overbrace{\underbrace{2\times{2}}}}\times{\overbrace{\underbrace{2\times{2}}}}\times{\overbrace{\underbrace{2\times{2}}}}\times{\overbrace{\underbrace{7\times{7}}}}\:}$

☯︎ Therefore,

• $\bf\red{\sqrt{3136}}$ = 2 × 2 × 2 × 7 = 56