Let E be an extension field of F. Show that [E:F] is

Chapter 21, Problem 20E

(choose chapter or problem)

Let E be an extension field of F. Show that [E:F] is finite if and only if \(E=F(a_1,a_2, \ldots, a_n)\), where \(a_1,a_2, \ldots, a_n\) are algebraic over F.

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