Question

Dado o numero complexo z= 1 + √3i,

Escreva na forma algebrica o complexo z^-1

Answer 1

$z=1+\sqrt3i \\ \\ \boxed{z^{-1}=\frac{1}{z}=\frac{1}{1+\sqrt3i}.\frac{1-\sqrt3i}{1-\sqrt3i}=\frac{1-\sqrt3i}{4}}$