Question Number 154723 by liberty last updated on 21/Sep/21
$$\:{G}\:=\:\sqrt{\mathrm{46}−\mathrm{27}{i}}\:+\sqrt{−\mathrm{4}−\mathrm{3}{i}} \\ $$$$\:{G}^{\mathrm{2}} \:=? \\ $$
Commented by mathdanisur last updated on 21/Sep/21
$$\mathrm{G}\:=\:\mathrm{3}\:\sqrt{\mathrm{4}\:-\:\mathrm{3}\boldsymbol{\mathrm{i}}}\:+\:\sqrt{-\mathrm{4}\:-\:\mathrm{3}\boldsymbol{\mathrm{i}}}\:=\:\mathrm{5}\sqrt{\mathrm{2}}\:-\:\mathrm{3}\sqrt{\mathrm{2}}\boldsymbol{\mathrm{i}} \\ $$$$\mathrm{G}^{\mathrm{2}} \:=\:\mathrm{32}\:-\:\mathrm{60}\boldsymbol{\mathrm{i}} \\ $$
Commented by Rasheed.Sindhi last updated on 21/Sep/21
$$\sqrt{\mathrm{46}−\mathrm{27}{i}}\:\overset{?} {=}\mathrm{3}\sqrt{\mathrm{4}−\mathrm{3}{i}} \\ $$
Commented by mathdanisur last updated on 21/Sep/21
$$\boldsymbol{\mathrm{S}}\mathrm{er},\:\mathrm{in}\:\mathrm{my}\:\mathrm{opinion}\:\mathrm{it}\:\mathrm{should}\:\mathrm{be}\:\mathrm{36} \\ $$