Find the minimal polynomial of a = i*(2)^1/2 + (3)^1/2
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.