Whether (2)^e is a rational or irrational no. ? How is it proved ?

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Whether (2)^e is a rational or irrational no. ? How is it proved ?

Last post 02-07-2005 05:41 PM by Starchaser. 2 replies.

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02-07-2005 04:42 AM

plakhapate Joined on 06-24-2004 Posts 49	Whether (2)^e is a rational or irrational no. ? How is it proved ? Pls let me know if anybody knows the answer. P.J.LAKHAPATE
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02-07-2005 09:45 AM In reply to

chipdatajeffB Joined on 07-16-2002 Moderator, Dallas, TX Posts 9,298	RE: Whether (2)^e is a rational or irrational no. ? How is it proved ? You should find this interesting: e: The story of a number, By Eli Maor ISBN: 0691058547 Signature The universe is not only stranger than we imagine, it's stranger than we CAN imagine. --- JBS Haldane
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02-07-2005 05:41 PM In reply to

Starchaser
Joined on 11-16-2003
Posts 339

RE: Whether (2)^e is a rational or irrational no. ? How is it proved ?

No one has yet found a proof to determine whether (2)^e is rational or irrational. The same is true for the number, (pi)^e.

I have read the book, "e The Story of a Number", that chipdatajeffB recommended. It is an excellent history of the number, e.

An excellent introduction to the study of rational and irrational numbers, including methods for proving certain numbers irrational, is the book, "Numbers: Rational and Irrational", by Ivan Niven. It is available through the Mathematical Association of America.

Best wishes,

Rick

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