(8) Suppose that a is algebraic over F, and [F(a): F] = 7. What is [F(a): F?

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F(a, B) F(a), F(a, B) ‡ F(3), and [F(a, 3): F] < [F(a) : F][F(3) : F].
(8) Suppose that a is algebraic over F, and [F(a): F] = 7. What is [F(aª) :
F]?
Transcribed Image Text:F(a, B) F(a), F(a, B) ‡ F(3), and [F(a, 3): F] < [F(a) : F][F(3) : F]. (8) Suppose that a is algebraic over F, and [F(a): F] = 7. What is [F(aª) : F]?
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