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Sep 18, 2012 at 11:22 comment added Manya Ok, I accept that :-)
Sep 18, 2012 at 11:19 vote accept Manya
Sep 18, 2012 at 10:31 comment added Carlo Beenakker well, once you have proven the fundamental theorem, there does not seem to be anything left to prove regarding the irrationality of the square root of any number that is not a perfect square; I imagine asking Gauss why he doesn't care to publish that proof and receiving a gentle smile..
Sep 18, 2012 at 8:47 comment added Manya Thanks for the Mazur paper. It is very good! But is it so clear that Gauss applied the fundamental theorem to the $\sqrt 2$. Or am I missing something?
Sep 15, 2012 at 18:34 comment added Carlo Beenakker that seems to be Barry Mazur's conclusion [added reference]
Sep 15, 2012 at 18:33 history edited Carlo Beenakker CC BY-SA 3.0
reference to Mazur's article
Sep 14, 2012 at 9:55 comment added Manya Thanks for the information and the links. I wonder if Gauss himself could have proven it...?
Sep 14, 2012 at 9:13 history answered Carlo Beenakker CC BY-SA 3.0