1. The problem statement, all variables and given/known data Find the minimal polynomial of a = i*(2)^1/2 + (3)^1/2 2. Relevant equations 3. The attempt at a solution Well, I know the minimal polynomial will have degree four, and that's about it. Will it help if I look at the linear factors of the minimal polynomial in some splitting field and multiply them all together? Could i take a general monic quartic polynomial, plug in a, and solve for the coefficients? any insight would help, i'm pretty lost.