A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 22.09, the number of members in the group is?

a² + a² = (8)²
? 2a² = 64
? a² = 32
? a = ?32 = 4?2
= 4 x 1.41
= 5.64 cm

176 = 2 x 2 x 2 x 2 x 11
So, in order to make it a perfect square, it must be multiplied by 11.

216 = 2 x 2 x 2 x 3 x 3 x 3
= (2 x 2) x 2 x ( 3 x 3) x 3

Clearly, in order to make it a perfect square, it must be divided by 2 x 3 i.e., 6 .

a = [(?5 + 1) / (?5-1)] x [(?5 + 1) / (?5 + 1)]
= (?5 + 1)² / (5 - 1)
= (5 + 1 + 2 ?5) / 4
= (3 + ?5) / 2

b = [(?5 - 1) / (?5 + 1)] x [(?5 - 1 ) / (?5 -1)]
= (?5 - 1 )² / (5 - 1)
= (5 + 1 - 2?5) / 4
= (3 - ?5) / 2

Now a² + b² = [(3 + ?5)² + (3 - ?5)²] / 4
= [2 x (9 + 5 )] / 4
= 7

ab = 1

? (a² + ab + b²) / (a² - ab + b²)
= (7 + 1) / (7 - 1)
= 8/6
= 4 / 3

(?5 - ?3)/ (?5 + ?3)
= (?5 - ?3) / (?5 + ?3)
= (?5 - ?3)² / (5 - 3)
= (5 + 3 - 2?5 x 3) / 2
= 2 (4 - ?15) / 2
= (4 - ?15)

Square root of (1/4) x (1/49) ÷ (25/121)
= ?(1/4) x (1/49) x (121/25)
= 11 / (2 x 7 x 5)
= 11/70

Let the total number of subscribers be x.
Then, according to the question, x² = 2582449
? x = ?2582449
= 1607

175760 = 2⁴ x 5 x 13 ³
= 2³ x 2 x 5 x 13³
To make perfect cube, it must be divided by 2 x 5 = 10

Total money donated = 4356 rupees

As total students are equal to the sum donated by each student.
Total Students =?4356
= 66

?256 / ?x = 2
? 16 = 2?x
? ?x = 8
? x = 64.