[masraum]

Originally Posted by Bill Verburg

no, arithmetic w/ irrationals can lead to rational results, here one that I have always been intrigued by it has both rational and imaginary #s yet has an integral result
e^(pi*i) = -1 aka Eulers Identity

the thing about irrationals is that they can never be written down explicitly(completely and exactly), they are always symbolized or rounded. But that has nothing to do w/ the results obtained from using them except to the extent that the answer obtained from using a rounded input will itself be rounded

I thought the original question was quite interesting, and I was disappointed that I didn't have a good answer. I had an idea, but didn't have any idea of the reason/proof.

Your answer is as interesting as the question.