Article View: sci.math.num-analysis
Article #217Re: Neat little proof
From: Vineet Nene
Date: Sat, 08 Aug 1992 01:15
Date: Sat, 08 Aug 1992 01:15
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682 bytes
Proof that Sqrt(2) is irrational :
Assume Sqrt(2) = p/q where p and q do not have any common factor.
=> p^{2}/q^{2} = 2 => p^{2} and q^{2} have a common factor.
=> p and q must also have a common factor.
=> Contradiction.
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Path: arc1-ca.pugleaf.net!sparky!uunet!cs.utexas.edu!qt.cs.utexas.edu!yale.edu!jvnc.net!netnews.upenn.edu!pender.ee.upenn.edu!nene From: nene@pender.ee.upenn.edu (Vineet Nene) Newsgroups: sci.math.num-analysis Subject: Re: Neat little proof Message-ID: <85612@netnews.upenn.edu> Date: 8 Aug 92 01:15:14 GMT References: <873@ceylon.gte.com> Sender: news@netnews.upenn.edu Organization: University of Pennsylvania Lines: 6 Nntp-Posting-Host: pender.ee.upenn.edu