Question: Let (a+ b i ) C where a, b R and b 0. Show that C = R(a + bi).

Let (a+ bi) ∈ C where a, b ∈ R and b ≠ 0. Show that C = R(a + bi).

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If b 0 then a bi C but a bi R By Theorem 313 a bi is algebraic over R Then by Theorem 314 C R C Ra b... View full answer

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