Accedmychevron_right11thchevron_rightmathchevron_rightComplex Numberschevron_rightExercise 1.5

(i) z1+z2z_1+z_2

z1=7(6+2)47(62)4iz_1=\frac{7(\sqrt{6}+\sqrt{2})}{4}-\frac{7(\sqrt{6}-\sqrt{2})}{4}i z2=11(6+2)4+11(62)4iz_2=-\frac{11(\sqrt{6}+\sqrt{2})}{4}+\frac{11(\sqrt{6}-\sqrt{2})}{4}i z1+z2=(6+2)+(62)i\boxed{z_1+z_2=-(\sqrt{6}+\sqrt{2})+(\sqrt{6}-\sqrt{2})i}