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I'm trying to apply theorems that I know, but they're all about integers. I really don't know how to solve this problem, in Number Theory, with rational.

"Find an integer $n$ and rational, not integers, $r$ and $s$ such that $n = r^2 + s^2$"

Arthur
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Dalton
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1 Answers1

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Hint:

Think about Pythagorean triples. For example, $3^2+4^2=5^2$. Now try dividing that equation by some appropriate number.

5xum
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