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Show-that-the-set-of-complex-numbers-C-under-the-usual-addition-and-multiplication-form-a-field-C-




Question Number 138983 by physicstutes last updated on 20/Apr/21
Show that the set of complex numbers C under the usual  addition and multiplication form a field.  (C,+,×)
$$\mathrm{Show}\:\mathrm{that}\:\mathrm{the}\:\mathrm{set}\:\mathrm{of}\:\mathrm{complex}\:\mathrm{numbers}\:\mathbb{C}\:\mathrm{under}\:\mathrm{the}\:\mathrm{usual} \\ $$$$\mathrm{addition}\:\mathrm{and}\:\mathrm{multiplication}\:\mathrm{form}\:\mathrm{a}\:\mathrm{field}. \\ $$$$\left(\mathbb{C},+,×\right) \\ $$

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