The students of a class arranged a picnic. Each student contributed as many rupees as the number of students in the class. If the total contribution is Rs. 1156, find the strength of the class.

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Solution

Let no. of students in the class=x
Then contribution of each student= x
$∴ x \times x = 1156 \Rightarrow x^{2} = 1156$

$∴ x = \sqrt{1156} = \sqrt{¯ ¯¯¯¯¯¯¯¯¯¯ ¯ 2 \times 2 \times ¯ ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ ¯ 17 \times 17}$
= $2 \times 17 = 34$

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The students of a class arranged a picnic. Each student contributed as many rupees as the number of students in the class. If the total contribution is Rs. 1156, find the strength of the class.

Let no. of students in the class=x Then contribution of each student= x ∴x×x=1156⇒x2=1156 ∴x=√1156=√¯¯¯¯¯¯¯¯¯¯¯¯2×2×¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯17×17 =2×17=34

Let no. of students in the class=x
Then contribution of each student= x
$∴ x \times x = 1156 \Rightarrow x^{2} = 1156$

$∴ x = \sqrt{1156} = \sqrt{¯ ¯¯¯¯¯¯¯¯¯¯ ¯ 2 \times 2 \times ¯ ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ ¯ 17 \times 17}$
= $2 \times 17 = 34$