3.化简与计算:
(1)$\sqrt{31×32×33×34+1}$
(2)$\frac{a\sqrt{b}+b\sqrt{a}}{\sqrt{a}+\sqrt{b}}$•($\frac{\sqrt{b}}{\sqrt{ab}-b}$-$\frac{1}{\sqrt{a}+\sqrt{b}}$)÷$\frac{\sqrt{b}}{a-b}$
(3)$\frac{\sqrt{10}+\sqrt{14}-\sqrt{15}-\sqrt{21}}{\sqrt{10}+\sqrt{14}+\sqrt{15}+\sqrt{21}}$
(4)$\frac{\sqrt{6}+4\sqrt{3}+3\sqrt{2}}{(\sqrt{6}+\sqrt{3})(\sqrt{3}+\sqrt{2})}$.