The value of y is 60 which makes 120y a perfect square.
A perfect square is a number that represents the square of a natural number.
For example 9,16,36,64,121 etc
Here given that we have to calculate the value of y for which 120y will be a perfect square.
so 120y = n² where n is the natural number
For calculating the value of y first factorize 120
120= 2*2*2*3*5
= 2² * 2*3*5
=4 *30
from the above, it is clear that 120 can be written as 4*30 where 4 is a perfect square but 30 is not a perfect square.
So if we multiply 30 by 120 then the product has 2²*30² which will be a perfect square.
Therefore the value of y is 30 for which 120*30=n² where n=60.
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