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Article #212Neat little proof
From: Sol Lerner
Date: Tue, 04 Aug 1992 12:02
Date: Tue, 04 Aug 1992 12:02
15 lines
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895 bytes
I am trying to remember a neat little proof that sqrt(2) is irrational. I think it went something like this: Assume sqrt(2) is rational, then sqrt(2) = p/q where q is the LCD. Then 2 = p squared / q squared ...SOME MAGIC OCCURS... q can not be the LCD therefore sqrt(2) is irrational. Can anyone fill in the "...SOME MAGIC OCCURS..." line? -------------------------------------------------------------- This is not a disclaimer... The lawyers at GTE Laboratories have not yet figured out that we need one. (Oh yes, that should be GTE Laboratories _Inc._)
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Path: arc1-ca.pugleaf.net!sparky!uunet!olivea!samsung!transfer!ceylon!hilbert.gte.com!lerner From: lerner@hilbert.gte.com (Sol Lerner) Newsgroups: sci.math.num-analysis Subject: Neat little proof Message-ID: <872@ceylon.gte.com> Date: 4 Aug 92 12:02:48 GMT Sender: news@ceylon.gte.com Organization: GTE Laboratories Lines: 15