`M=((15)/(\sqrt{6}+1)+(4)/(\sqrt{6}-2)-(12)/(3-\sqrt{6}))(\sqrt{6}+11)`
`M=((15(\sqrt{6}-1))/((\sqrt{6}+1)(\sqrt{6}-1))+(4(\sqrt{6}+2))/((\sqrt{6}-2)(\sqrt{6}+2))-(12(3+\sqrt{6}))/((3-\sqrt{6})(3+\sqrt{6})))(\sqrt{6}+11)`
`M=((15(\sqrt{6}-1))/(5)+(4(\sqrt{6}+2))/(2)-(12(3+\sqrt{6}))/(3))(\sqrt{6}+11)`
`M=[3(\sqrt{6}-1)+2(\sqrt{6}+2)-4(3+\sqrt{6})](\sqrt{6}+11)`
`M=(3\sqrt{6}-3+2\sqrt{6}+4-12-4\sqrt{6})(\sqrt{6}+11)`
`M=(\sqrt{6}-11)(\sqrt{6}+11)`
`M=6-121`
`M=-115`