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wu :: forums    riddles    easy (Moderators: towr, Grimbal, Eigenray, ThudnBlunder, william wu, Icarus, SMQ)    Power of irrationals = rational « Previous topic | Next topic » Pages: 1  Reply Notify of replies Send Topic Print    Author  Topic: Power of irrationals = rational  (Read 254 times) BNC Uberpuzzler     Gender: Posts: 1732 Power of irrationals = rational   « on: Sep 13th, 2003, 12:54am » Quote Modify Is it possible to fulfill the equation ab=c with a and b being irrational, and c rational? « Last Edit: Sep 13th, 2003, 12:56am by BNC » IP Logged How about supercalifragilisticexpialidociouspuzzler [Towr, 2007] Sir Col Uberpuzzler impudens simia et macrologus profundus fabulae     Gender: Posts: 1825 Re: Power of irrationals = rational   « Reply #1 on: Sep 13th, 2003, 1:40am » Quote Modify I think it has already been discussed here. IP Logged mathschallenge.net / projecteuler.net BNC Uberpuzzler     Gender: Posts: 1732 Re: Power of irrationals = rational   « Reply #2 on: Sep 13th, 2003, 2:39am » Quote Modify Oops, sorry!   IP Logged How about supercalifragilisticexpialidociouspuzzler [Towr, 2007] Sir Col Uberpuzzler impudens simia et macrologus profundus fabulae     Gender: Posts: 1825 Re: Power of irrationals = rational   « Reply #3 on: Sep 13th, 2003, 2:52am » Quote Modify I was quite amused by the fact that you were the 2nd person to reply in that thread too!     Actually I prefer the way you've phrased, as it makes it clear that a and b must be known irrationals in a less clumsy way.     What about... ?   By use of elementary results, is it possible to fulfill the equation ab=c, with a, b, and c being irrationals? What if a, b, and c are algebraic irrationals? IP Logged mathschallenge.net / projecteuler.net Pages: 1  Reply Notify of replies Send Topic Print Forum Jump: ----------------------------- riddles -----------------------------=> easy   - medium   - hard   - what am i   - what happened   - microsoft   - cs   - putnam exam (pure math)   - suggestions, help, and FAQ   - general problem-solving / chatting / whatever ----------------------------- general -----------------------------  - guestbook   - truth   - complex analysis   - wanted   - psychology   - chinese « Previous topic | Next topic »

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