>A student wanted to know if the digits of an irrational number such as >sqr(2) can be found as well. What a great question. I'm not sure I know >the answer. Any thoughts? >
I don't think so. If all of the digits of root(2) can be found together in pi, then you could write pi = a + root(2)/b. Where a is the number up to the start of the root(2) digits and b is some power of 10. That would make pi irrational but no longer transendental since pi would be a root of the equation (bX-a)^2-2=0.