Question

Resolva: Me ajudem
a) 1+2i / 3-2i

Answer 1

Para resolver, basta passar o que está dividindo dos dois lados, trocando o sinal.

$\frac{1+2i}{3-2i} \ \ \cdot\frac{3+2i}{3+2i} = \frac{ 3+2i+6i+4i^2}{9+6i-6i-4i^2} \\\\\\ \boxed{i^2=-1}\\\\\\\ \frac{ 3+2i+6i-4}{9+4} = \frac{8i-1}{13} \\\\\\\\ \boxed{\frac{8i-1}{13} }$