Đáp án+Giải thích các bước giải:
`\sqrt{21+12\sqrt{3}}+\sqrt{21-12\sqrt{3}}`
`=\sqrt{12+2.2\sqrt{3}.3+9}+\sqrt{12-2.3.2\sqrt{3}+9}`
`=\sqrt{(2\sqrt{3})^2+2.2\sqrt{3}.3+3^2}+\sqrt{(2\sqrt{3})^2-2.3.2\sqrt{3}+3^2}`
`=\sqrt{(2\sqrt{3}+3)^2}+\sqrt{(2\sqrt{3}-3)^2}`
`=|2\sqrt{3}+3|+|2\sqrt{3}-3|`
`=2\sqrt{3}+3+2\sqrt{3}-3`
`=4\sqrt{3}`