Find an example of a field F and elements a and b from

Chapter 21, Problem 12E

(choose chapter or problem)

Find an example of a field F and elements a and b from some extension field such that \(F(a,b) \ne F(a), F(a,b) \ne F(b)\), and [F(a, b):F] < [F(a):F][F(b):F].

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