Đáp án+Giải thích các bước giải:
`\sqrt{10+2\sqrt{24}}-\sqrt{10-2\sqrt{24}}`
`=\sqrt{6+2\sqrt{6}.\sqrt{4}+4}-\sqrt{6-2\sqrt{6}.\sqrt{4}+4}`
`=\sqrt{\sqrt{6}^2+2.\sqrt{6}.\sqrt{4}+\sqrt{4}^2}-\sqrt{\sqrt{6}^2-2.\sqrt{6}.\sqrt{4}+\sqrt{4}^2}`
`=\sqrt{(\sqrt{6}+\sqrt{4})^2}-\sqrt{(\sqrt{6}-\sqrt{4})^2}`
`=|\sqrt{6}+\sqrt{4}|-|\sqrt{6}-\sqrt{4}|`
`=\sqrt{6}+\sqrt{4}-\sqrt{6}+\sqrt{4}`
`=2\sqrt{4}`
`=2.2`
`=4`
`=>\sqrt{10+2\sqrt{24}}-\sqrt{10-2\sqrt{24}}=4`
`=>đpcm`
