[tex]\bf \begin{array}{llll}
\sqrt{3}&,&2i\\
\uparrow &&\uparrow \\
a&&b
\end{array}\implies r[cos(\theta )+i\ sin(\theta )]\qquad
\begin{cases}
r=\sqrt{a^2+b^2}\\
\theta =tan^{-1}\left( \frac{b}{a} \right)
\end{cases}
\\\\\\
r=\sqrt{(\sqrt{3})^2+(2)^2}\implies r=\sqrt{3+4}\implies r=\sqrt{7}
\\\\\\
\theta =tan^{-1}\left( \frac{2}{\sqrt{3}} \right)\implies \theta \approx 49.10660535^o\textit{ or just 49 rounded up}\\\\
-------------------------------\\\\
\sqrt{3},2i\implies \sqrt{7}[cos(49^o)+i\ sin(49^o)][/tex]
