Đáp án+Giải thích các bước giải:
`(4+sqrt{15})(sqrt{10}-sqrt6)sqrt{4-sqrt{15}}`
`=sqrt{4+sqrt{15}}.sqrt{4+sqrt{15}}.(sqrt{10}-sqrt6)sqrt{4-sqrt{15}}`
`=sqrt{16-15}.\sqrt2.sqrt{4+sqrt{15}}(sqrt5-sqrt3)`
`=sqrt{8+2sqrt{15}}(sqrt5-sqrt3)`
`=sqrt{5+2\sqrt{5.3}+3}(sqrt5-sqrt3)`
`=sqrt{(sqrt5+sqrt3)^2}(sqrt5-sqrt3)`
`=(sqrt5+sqrt3)(sqrt5-sqrt3)`
`=sqrt5^2-sqrt3^2`
`=5-3=2`