(((15)/(Sqrt(6)+1))+((4)/(Sqrt(6)-2))-((12)/(3-Sqrt(6))))Sqrt(6)+11
[tex](\frac{15}{\sqrt{6}+1}+\frac{4}{\sqrt{6}-2}-\frac{12}{3-\sqrt{6}})\sqrt{6}+11\\=(\frac{15\sqrt{6}-15}{5}+\frac{4\sqrt{6}+8}{2}-\frac{36+12\sqrt{6}}{3})\sqrt{6}+11\\=(3\sqrt{6}-3+2\sqrt{6}+4-12-4\sqrt{6})\sqrt{6}+11\\=17-11\sqrt{6}[/tex]