Question

Qual o resultado da divisão de 1 + i por 1 + 2i?

Answer 1

$\large\boxed{\begin{array}{l}\sf\dfrac{(1+i)}{(1+2i)}\cdot\dfrac{(1-2i)}{(1-2i)}=\dfrac{1-2i+i-2i^2}{1^2-(2i)^2}\\\\\sf\dfrac{(1+i)}{(1+2i)}=\dfrac{1-i+2}{1+4}=\dfrac{3-i}{5}\end{array}}$