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Find minimal polynomials for an element over Q

Can you help me with this question please?

Find minimal polynomials for for sqrt(7)+i over Q

I have no idea how to do it
Original post by number23
Can you help me with this question please?

Find minimal polynomials for for sqrt(7)+i over Q

I have no idea how to do it
Can you find *a* poly over Q that has sqtt(7)+i as a root?

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