(a) Show that the splitting field ofp(x) = (x2 - 2)(x2 - 5)(x2 -7)overlQislQ(.J2,.;s
Chapter 46, Problem 46.3(choose chapter or problem)
(a) Show that the splitting field ofp(x) = (x2 - 2)(x2 - 5)(x2 -7)overlQislQ(.J2,.;s, ../7).(b) Show that [1Q(.J2,.;s, ../7) : IQ] = 8.(c) Describe the elements in the Galois group of p(x) over IQ
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