How do you prove the irrationality of a constant? Is there a formal method? or does it require that each case be treated individualy with clever reasoning... (like the clever reasoning that proves the irrationality of sqrt(2)).

How do you prove that a number is transcendental? Clever reasoning for the specific case?, or systematic method for the general case...?

Lastly, I presume it to be much more difficult to prove transcendentality than irrationality... is that a correct assumption? If so, then how much more difficult is it?

• Transcendental numbers - mathman - October 16, 2001 - 04:41 UTC