ژمارەی ئاوێتە

${\displaystyle \,(a+bi)+(c+di)=(a+c)+(b+d)i}$

${\displaystyle \,(a+bi)-(c+di)=(a-c)+(b-d)i}$

${\displaystyle \,(a+bi)(c+di)=ac+bci+adi+bdi^{2}=(ac-bd)+(bc+ad)i}$

z₁ = r₁(cos φ₁ + i sin φ₁) و z₂ = r₂(cos φ₂ + i sin φ₂)

${\displaystyle \cos(a)\cos(b)-\sin(a)\sin(b)=\cos(a+b)}$

${\displaystyle \cos(a)\sin(b)+\sin(a)\cos(b)=\sin(a+b)}$

${\displaystyle z_{1}z_{2}=r_{1}r_{2}(\cos(\varphi _{1}+\varphi _{2})+i\sin(\varphi _{1}+\varphi _{2})).\,}$

${\displaystyle {\frac {z_{1}{z_{2}={\frac {r_{1}{r_{2}\left(\cos(\varphi _{1}-\varphi _{2})+i\sin(\varphi _{1}-\varphi _{2})\right).}$

${\displaystyle (a,b)+(c,d)=(a+c,b+d)\,}$

${\displaystyle (a,b)\cdot (c,d)=(ac-bd,bc+ad).\,}$

${\displaystyle z=z_{0}^{1/n}$