# Roots of complex numbers

$r=\sqrt{{a}^{2}+{b}^{2}},tg\phi =\frac{b}{a}\left(a\ne 0\right)$
$z=r·{e}^{\phi i}=r·\left(\mathrm{cos}\phi +i·\mathrm{sin}\phi \right)$
$k=0,1,2,3,...,n-1$
Keywords: Roots of complex numbers