Suppose that E is an extension of F and a, b E. If a is
Chapter 21, Problem 11E(choose chapter or problem)
Problem 11E
Suppose that E is an extension of F and a, b ∈ E. If a is algebraic over F of degree m, and b is algebraic over F of degree n, where m and n are relatively prime, show that [F(a, b):F] =mn.
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