Example 1 Calculate $\left|\frac{(\sqrt{3}+\sqrt{2} i)(\sqrt{5}+\sqrt{2} i)(\sqrt{5}+\sqrt{3} i)}{(\sqrt{2}-\sqrt{3} i)(\sqrt{2}-\sqrt{5} i)}\right|$
(1983 Shanghai High School Competition)
Solve the original expression $=|\sqrt{5}+\sqrt{3} i|^{2}=8$.

