Đáp án+Giải thích các bước giải:
`2(\sqrt{10}-\sqrt{2}).\sqrt{4+\sqrt{6-2\sqrt{5}}}`
`=2.\sqrt{2}(\sqrt{5}-1).\sqrt{4+\sqrt{5-2\sqrt{5}+1}}`
`=2.\sqrt{2}(\sqrt{5}-1).\sqrt{4+\sqrt{(\sqrt{5}-1)^2}}`
`=2.\sqrt{2}(\sqrt{5}-1).\sqrt{4+\sqrt{5}-1}`
`=2.\sqrt{2}(\sqrt{5}-1).\sqrt{3+\sqrt{5}}`
`=2.(\sqrt{5}-1)\sqrt{6+2\sqrt{5}}`
`=2.(\sqrt{5}-1)\sqrt{(\sqrt{5}+1)^2}`
`=2.(\sqrt{5}-1)(\sqrt{5}+1)`
`=2.(5-1)`
`=2.4=8`