Hi, I'm struggling to understand the concept behind a particular perfect squares question. Could anybody help?
If 375y = x^2, and x and y are positive integers then which of the following must be an integer?
As I'm new to this forum, please do advise if I've used incorrect symbols or haven't laid everything out as per standard practice. Thanks in advance.
Welcome on board!
1. Looking 375y=x^2 tells us that y has to also be 375 in order for x to be a perfect square.
2. Breakdown 375 to its prime factor---- (5*5*5*3)=y
3. Now it's much easier to compare each statement.
I. y/15----> Yes (quotient=25)
II.y/30----> No (quotient=25/2)
III.y^2/25----> Yes (quotient=5625)