Đáp án:
Giải thích các bước giải:
a) `\sqrt{7-2\sqrt{6}}+5-\sqrt{6}`
`=\sqrt{6+1-2\sqrt{6}}+5-\sqrt{6}`
`=\sqrt{(\sqrt{6})^2+(1)^2-2\sqrt{6}}+5-\sqrt{6}`
`=\sqrt{(\sqrt{6}-1)^2}+5-\sqrt{6}`
`=|\sqrt{6}-1|+5-\sqrt{6}`
`=\sqrt{6}-1+5-\sqrt{6}`
`=4`
b) `\sqrt{4+2\sqrt{3}}-\sqrt{3}+9`
`=\sqrt{3+1-2\sqrt{3}}-\sqrt{3}+9`
`=\sqrt{(\sqrt{3})^2+(1)^2-2\sqrt{3}}-\sqrt{3}+9`
`=\sqrt{(\sqrt{3}-1)^2}-\sqrt{3}+9`
`=|\sqrt{3}-1|-\sqrt{3}+9`
`=\sqrt{3}-1-\sqrt{3}+9`
`=8`
