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## Homework Statement

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

## Homework Equations

## 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.