Let Q be the field of rational numbers and let F √2, √7, √14 are irrational. = Q(√2, √7). You may assume that Show that a = √7-√2 is a primitive element for F over Q and write √2 and √7 in the basis {1, a, a², a³} for F over Q.

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Q: ísomorp

A: Isomorphic to quotient ring: