Đáp án:
`2sqrt{4+sqrt{6-2sqrt5}}.(sqrt{10}-sqrt2)`
`=2sqrt{4+sqrt{(sqrt5-1)^2}}.(sqrt{10}-sqrt2)`
`=2\sqrt{4+sqrt5-1}.sqrt2(sqrt5-1)`
`=2sqrt{3+sqrt5}.sqrt(sqrt5-1)`
`=2sqrt{6+2sqrt5}(sqrt5-1)`
`=2sqrt{(sqrt5+1)^2}(sqrt5-1)`
`=2(sqrt5+1)(sqrt5-1)`
`=2(5-1)`
`=2.4=8`