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Prove that Q[X]/(X2 2) and Q[X]/(X2 3) are non-isomorphic extensions of Q. In other words, you need to show that both Q[X]/(X2 2) and Q[X]/(X2

Prove that Q[X]/(X2 2) and Q[X]/(X2 3) are non-isomorphic extensions of Q. In other words, you need to show that both Q[X]/(X2 2) and Q[X]/(X2 3) are fields that contain Q and that they are not isomorphic as fields

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