[SOLVED] field theory 1. The problem statement, all variables and given/known data Assume pi is transcendental over Q. Find a subfield F of the reals such that pi is algebraic of degree 3 over F. 2. Relevant equations 3. The attempt at a solution Umm...the only subfield I know of the reals is the rationals. Is the answer Q(pi^(1/3))? Do people understand the that simple extension notation? How would you read Q(pi^(1/3)) in English?