In article <lJsmd.firstname.lastname@example.org>, Norm Dresner <email@example.com> wrote: >"Robert Israel" <firstname.lastname@example.org> wrote in message ><a href="news://email@example.com...">news://firstname.lastname@example.org...</a>
>> Proofs of irrationality (for numbers that are not known to be >> algebraic) tend to be very difficult.
>> On the other hand, it is known (and not difficult) that at least >> one of pi + e and pi e is irrational.
>Isn't it _known_ that _pi_ is transcendental?
Yes, it is. Why do you ask?
Robert Israel email@example.com Department of Mathematics <a href="http://www.math.ubc.ca/~israel">http://www.math.ubc.ca/~israel</a> University of British Columbia Vancouver, BC, Canada