Answer:
10/9 + [tex]\frac{1}{3} \sqrt{10}[/tex] i
Step-by-step explanation:
([tex]\frac{1}{3} \sqrt{5}[/tex] - [tex]\frac{1}{2} \sqrt{2}[/tex]i) ² =
([tex]\frac{1}{3} \sqrt{5}[/tex] )² + 2([tex]\frac{1}{3} \sqrt{5}[/tex] [tex]\frac{1}{2} \sqrt{2}[/tex])i - ([tex]\frac{1}{3} \sqrt{5}[/tex]i) ² =
5/9 + [tex]\frac{1}{3} \sqrt{5}[/tex] [tex]\sqrt{2}[/tex] i - (5/9. (-1)) =
10/9 + [tex]\frac{1}{3} \sqrt{10}[/tex] i
