Re: Irrational numbers

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Article #2701

#2701

From: Larry Baum
Date: Tue, 26 Jan 1993 18:16

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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!
>
>-Prasad Padmanabhan
>Dept. of ECE
>University of Massachusetts
>Amherst MA 01003
>

Since e**(ln x) = x, P = e, Q = ln r, will suffice for any rational.

Left to the reader: show ln r is not rational.

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Newsgroups: rec.puzzles
Path: arc1-ca.pugleaf.net!sparky!uunet!bcstec!bronte!usenet
From: lbaum@atc.boeing.com (Larry Baum)
Subject: Re: Irrational numbers
Message-ID: <1993Jan26.181658.9053@atc.boeing.com>
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References: <19723.2b6495ca@ecs.umass.edu>
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Date: Tue, 26 Jan 1993 18:16:58 GMT
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