The fields Q(2) and Q(3+2) are the same, of course. Let = 3 + 2. a.
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The fields Q(√2) and Q(3+√2) are the same, of course. Let α = 3 + √2.
a. Find a conjugate β ≠ α of α over Q.
b. Referring to part (a), compare the conjugation automorphism ψ√2,-√2 of Q(√2) with the conjugation automorphism ψα.β.
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a We have 3 2 is a conjugate of 3 2 They are ...View the full answer
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