$\left(\sqrt{3}+i\right)^8$

$81\left(\begin{matrix}8\\0\end{matrix}\right)+\left(\begin{matrix}8\\1\end{matrix}\right)\sqrt{\left(3\right)^{7}}i-27\left(\begin{matrix}8\\2\end{matrix}\right)+\left(\begin{matrix}8\\3\end{matrix}\right)\sqrt{\left(3\right)^{5}}i^{3}+9\left(\begin{matrix}8\\4\end{matrix}\right)+\left(\begin{matrix}8\\5\end{matrix}\right)\sqrt{\left(3\right)^{3}}i^{5}+3\left(\begin{matrix}8\\6\end{matrix}\right)i^{6}+\left(\begin{matrix}8\\7\end{matrix}\right)\sqrt{3}i^{7}+\left(\begin{matrix}8\\8\end{matrix}\right)i^{8}$