(8) Suppose that a is algebraic over F, and [F(a): F] = 7. What is [F(a): F?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Problem 1RQ
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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]?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8e8d15f3-607c-4dbe-b8bf-c4fc46cf18e3%2Fc8c48609-6a2d-4643-bf9a-a0be6f35d971%2F6mlwu96_processed.png&w=3840&q=75)
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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