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Article #2634Re: Irrational numbers
From: Joel Chan
Date: Tue, 26 Jan 1993 23:46
Date: Tue, 26 Jan 1993 23:46
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1068 bytes
In article <19723.2b6495ca@ecs.umass.edu> padmanab@ecs.umass.edu writes: >Here is an interesting puzzle concerning >irrational numbers: > >Can you find two IRRATIONAL NUMBERS P and Q such that > > Q > P = rational? > >HAVE FUN! Let P and Q both be equal to sqrt(2). Is P^Q rational? If it is, we're done. If it isn't then take (P^Q)^R, where R = sqrt(2). Joel -- Joel Chan, Department of Mathematics joel@math.toronto.edu Toronto Blue Jays: 1992 World Series Champions "History: Those who ignore it are condemned to repeat it. Math, too." -From the comic strip "Betty"
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<1993Jan26.234650.17714@math.toronto.edu>Path:
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Newsgroups: rec.puzzles Path: arc1-ca.pugleaf.net!sparky!uunet!charon.amdahl.com!pacbell.com!decwrl!spool.mu.edu!uwm.edu!rpi!utcsri!utmath!joel From: joel@math.toronto.edu (Joel Chan) Subject: Re: Irrational numbers Message-ID: <1993Jan26.234650.17714@math.toronto.edu> Organization: Department of Mathematics, University of Toronto References: <19723.2b6495ca@ecs.umass.edu> Date: Tue, 26 Jan 93 23:46:50 GMT Lines: 24