2012 Indonesia MO Problems/Problem 5: Difference between revisions
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Revision as of 03:40, 24 December 2024
Problem
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 
.
Solution
See Also
| 2012 Indonesia MO (Problems) | ||
| Preceded by Problem 4 |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 | Followed by Problem 6 |
| All Indonesia MO Problems and Solutions | ||
