Tính. `(3+sqrt(5))(sqrt(10)-sqrt(2))sqrt(3-sqrt(5)` Em cảm ơn trước ạ!

`(3+\sqrt{5})(\sqrt{10}-\sqrt{2})\sqrt{3-\sqrt{5}}`

`=(3+\sqrt{5})(\sqrt{10}-\sqrt{2})\sqrt{\frac{6-2\sqrt{5}}{2}}`

`=(3+\sqrt{5})(\sqrt{10}-\sqrt{2})\sqrt{\frac{(\sqrt{5}-1)^2}{2}}`

`=(3+\sqrt{5})(\sqrt{5}-1)\sqrt{2}.\frac{|\sqrt{5}-1|}{\sqrt{2}}`

`=(3+\sqrt{5})(\sqrt{5}-1)(\sqrt{5}-1)`

`=\frac{6+2\sqrt{5}}{2}(\sqrt{5}-1)^2`

`=\frac{1}{2}(\sqrt{5}+1)^2.(\sqrt{5}-1)^2`

`=\frac{1}{2}(5-1)^2`

`=8`