Đáp án:
Giải thích các bước giải:
`L=\frac{\sqrt{8-2\sqrt{15}}}{\sqrt{10}-\sqrt{6}}`
`=\sqrt{\sqrt{5^2}-2.\sqrt{5}.\sqrt{3}+\sqrt{3^2})/(\sqrt{2}(\sqrt{5}-\sqrt{3}))`
`=\sqrt{(\sqrt{5}-\sqrt{3})^2)/(\sqrt{2}(\sqrt{5}-\sqrt{3}))`
`=\frac{\sqrt{5}-\sqrt{3}}{\sqrt{2}(\sqrt{5}-\sqrt{3})}`
`=\frac{1}{\sqrt{2}}`
`M=\sqrt{12}+4/(\sqrt{5}+\sqrt{3})`
`=2\sqrt{3}+(4(\sqrt{5}-\sqrt{3}))/(5-3)`
`=2\sqrt{3}+2(\sqrt{5}-\sqrt{3})`
`=2\sqrt{3}+2\sqrt{5}-2\sqrt{3}`
`=2\sqrt{5}`
`N=(2\sqrt{3}-3\sqrt{2})^2+2\sqrt{6}+3\sqrt{24}`
`=[\sqrt{6}(\sqrt{2}-\sqrt{3})]^2+2\sqrt{6}+6\sqrt{6}`
`=6(5-2\sqrt{6})+8\sqrt{6}`
`=30-12\sqrt{6}+8\sqrt{6}`
`=30-4\sqrt{6}`
