Đáp án:
`(2+(3+sqrt3)/(sqrt3+1)).(2-(3-sqrt3)/(sqrt3-1))`
`=(2+((3+sqrt3)(sqrt3-1))/((sqrt3+1)(sqrt3-1))).(2-((3-sqrt3)(sqrt3+1))/((sqrt3-1)(sqrt3+1)))`
`=(2+(3sqrt3-3+3-sqrt3)/(3-1)).(2-(3sqrt3+3-3-sqrt3)/(3-1))`
`=(2+(2sqrt3)/2).(2-(2sqrt3)/2)`
`=(2+sqrt3)(2-sqrt3)`
`=2^2-sqrt3^2`
`=4-3=1`
`2)2\sqrt{(sqrt2-3)^2}+\sqrt{2(-3)^2}-5\sqrt{(-1)^6}`
`=2|\sqrt2-3|+|\sqrt{2}.(-3)|-5|-1|`
`=2(3-sqrt2)+3\sqrt2-5`
`=6-2sqrt2+3sqrt2-5`
`=1+sqrt2`
