$$\sqrt{3}+\sqrt{2i}; 3\sqrt{3}-2\sqrt{2i}$$
$\frac{1+i+\sqrt{3}}{-2-2i+3\sqrt{3}}\approx 0.473574813+0.609216761i$
$\left(\sqrt{3}+1\right)Re(\frac{1}{-2-2i+3\sqrt{3}})-Im(\frac{1}{-2-2i+3\sqrt{3}})$
