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Text File  |  1993-01-28  |  852 b   |  34 lines
  1. Newsgroups: rec.puzzles
  2. Path: sparky!uunet!bcstec!bronte!usenet
  3. From: lbaum@atc.boeing.com (Larry Baum)
  4. Subject: Re: Irrational numbers
  5. Message-ID: <1993Jan26.181658.9053@atc.boeing.com>
  6. Sender: usenet@atc.boeing.com (For news)
  7. Organization: Boeing Computer Services
  8. References: <19723.2b6495ca@ecs.umass.edu>
  9. Distribution: usa
  10. Date: Tue, 26 Jan 1993 18:16:58 GMT
  11. Lines: 21
  12.  
  13. In article <19723.2b6495ca@ecs.umass.edu> padmanab@ecs.umass.edu writes:
  14. >Here is an interesting puzzle concerning 
  15. >irrational numbers: 
  16. >
  17. >Can you find two IRRATIONAL NUMBERS P and Q such that 
  18. >
  19. >                    Q 
  20. >                   P  =  rational? 
  21. >
  22. >HAVE FUN!
  23. >
  24. >-Prasad Padmanabhan
  25. >Dept. of ECE
  26. >University of Massachusetts
  27. >Amherst MA 01003
  28. >
  29.  
  30. Since e**(ln x) = x, P = e, Q = ln r, will suffice for any rational.
  31.  
  32. Left to the reader: show ln r is not rational.
  33.  
  34.