(a) Show that the splitting field of X4 - 5 over IQ is 1Q(..:Y5, i).(b) Show that

Chapter 46, Problem 46.2

(choose chapter or problem)

(a) Show that the splitting field of X4 - 5 over IQ is 1Q(..:Y5, i).(b) Show that [1Q(..:Y5, i) : IQJ = 8.(c) What is the order of the Galois group of X4 - 5 over IQ?

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