Let ? ? C be a root of x^2 + x + 1 ? Q[x]. For ? = 3 + 2? ?Q(?), find ?^ ?1 as an element of Q(?).
Let a = 3 + 2(2^(1/3)) + 4^(1/3) and b = 1 + 5(4)^(1/3) belongto Q( 2^(1/3)). Calculate a · b and a ?1 as elements of Q(2^(1/3)).
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