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