Posted by **romulo** on Wednesday, March 7, 2007 at 1:20pm.

If p is prime prove that p^1/2 (root p) is irrational.

Generalize the proof that sqrt 2 is irrational. You can find several proofs here:

http://www.cut-the-knot.org/proofs/sq_root.shtml
You should be able to apply the proof to all square roots of prime integers.

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