2012 Indonesia MO Problems/Problem 7
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Problem 7
Let 
be a positive integer. Show that the equation![\[\sqrt{x}+\sqrt{y}=\sqrt{n}\]](http://latex.artofproblemsolving.com/2/c/c/2cc4348f76530619cb16625e83dfe6fa4ebb15f4.png)
have solution of pairs of positive integers 
if and only if is divisible by some perfect square greater than 
.
test (sorry)
