Đáp án+Giải thích các bước giải:
`\frac{\sqrt{3}+\sqrt{11+6\sqrt{2}}-\sqrt{5+2\sqrt{6}}}{\sqrt{2}+\sqrt{6+2\sqrt{5}}-\sqrt{7+2\sqrt{10}}}`
`=\frac{\sqrt{3}+\sqrt{(3+\sqrt{2})^2}-\sqrt{(\sqrt{3}+\sqrt{2})^2}}{\sqrt{2}+\sqrt{(\sqrt{5}+1)^2}-\sqrt{(\sqrt{5}+\sqrt{2})^2}}`
`=\frac{\sqrt{3}+|3+\sqrt{2}|-|\sqrt{3}+\sqrt{2}|}{\sqrt{2}+|\sqrt{5}+1|-|\sqrt{5}+\sqrt{2}|}`
`=\frac{\sqrt{3}+3+\sqrt{2}-\sqrt{3}-\sqrt{2}}{\sqrt{2}+\sqrt{5}+1-\sqrt{5}-\sqrt{2}}`
`=\frac{3}{1}`
`=3`
