The irrationality of the square root of 2 Is there a proof to the irrationality of the square root of 2 besides using the argument that a rational number is expressed to be p/q?

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Regardless, yes, there are lots of ways to prove the irrationality of $\sqrt{2}$. Here are some pertinent resources:


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*https://mathoverflow.net/questions/32011/direct-proof-of-irrationality/32017#32017 (That's a really neat proof of the type for which you are looking.)

*http://en.wikipedia.org/wiki/Square_root_of_2#Proofs_of_irrationality

*Direct proof for the irrationality of $\sqrt 2$.

*Irrationality proofs not by contradiction
