This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: [IMAGE] Admittedly, it takes as much work to show that [IMAGE] is irrational as that e is irrational. *** Postscript: After posting the solution above, I received two improvements based on Dattasharma’s solution and requiring no substantial mathematical knowledge. The first came from Thomas Teo. He observes that if [IMAGE] is irrational, then Dattasharma’s solution will suffice. On the other hand if that number is rational, that makes [IMAGE] irrational which when raised to the power of [IMAGE] will do the trick. Jan Siwanowicz offered a similar improvement. this page....
View
Full
Document
This note was uploaded on 03/01/2010 for the course MATH 301 taught by Professor Albertodelgado during the Spring '10 term at Bradley.
 Spring '10
 AlbertoDelgado
 Combinatorics

Click to edit the document details