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Possible Duplicate:
$\sqrt a$ is either an integer or an irrational number.

I'm a total beginner and any help with this proof would be much appreciated. Not even sure where to begin.

Prove that for each prime number $p$, the square root of p is irrational.

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    Welcome to math.SE. Have you seen any proofs of the fact that the square root of 2 is irrational? If so, try to generalize its ideas, and edit your post when you've got more questions.2012-07-29
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    If you're allowed to use the rational root theorem, consider the polynomial $x^2-p$...2012-07-29
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    This shouldn't be a duplicate. Proof is simpler in this case where $p$ is prime.2016-11-19

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