Problem: Every nonzero element of Q [sq rt 3 + i] is a unit. Prove answer?
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Originally Posted by chadlyter Problem: Every nonzero element of Q [sq rt 3 + i] is a unit. Prove answer? Since sqrt(3)+i Is algebraic over Q. Because it is a zero of, x^4 - 2x^2-8 It means that, Q[sqrt(3)+i] Simple field extension over Q. Thus, it is a field and hence, all non-zero elements are units. This is Mine 52th Post!!!
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