Question

caucule os seguintes quocientes:
2+3i
5+7i

Answer 1

$\frac{2+3i}{5+7i}= \frac{2+3i}{5+7i}. \frac{5-7i}{5-7i} = \frac{10-14i+15i-21(i^{2})}{5^{2}-(7i)^{2}} \\ \\ \frac{10+i-21(-1)}{25-49(-1)} = \frac{10+i+21}{25+49} = \frac{31+i}{74}$

Espero ter ajudado.