Đáp án: `-115`
Giải thích các bước giải:
`PT`
`= [(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)`
`= [(15(\sqrt{6} - 1))/5 + (4(\sqrt{6} + 2))/2 - (12(3 + \sqrt{6}))/3].(sqrt{6} + 11)`
`= (3sqrt{6} - 3 + 2sqrt{6} + 4 - 12 - 4sqrt{6})(sqrt{6} + 11)`
`= (sqrt{6} - 11)(sqrt{6} + 11)`
`= 6 - 121`
`= -115`