Đáp án:
Giải thích các bước giải:
`\sqrt{6+2\sqrt{5-\sqrt{13+\sqrt{48}}}}`
`=\sqrt{6+2\sqrt{5-\sqrt{12+2\sqrt{12}+1}}}`
`=\sqrt{6+2\sqrt{5-\sqrt{(\sqrt{12}+1)^2}}}`
`=\sqrt{6+2\sqrt{5-\sqrt{12}-1}}`
`=\sqrt{6+2\sqrt{4-\sqrt{12}}}`
`=\sqrt{6+2\sqrt{3-2\sqrt{3}+1}}`
`=\sqrt{6+2\sqrt{(\sqrt{3}-1)^2}}`
`=\sqrt{6+2(\sqrt{3}-1)}`
`=\sqrt{4+2\sqrt{3}}`
`=\sqrt{(1+\sqrt{3})^2}`
`=1+\sqrt{3}`
`\sqrt{\sqrt{5}-\sqrt{3-\sqrt{29-6\sqrt{20}}}}`
`=\sqrt{\sqrt{5}-\sqrt{3-\sqrt{(\sqrt{20}-3)^2}}}`
`=\sqrt{\sqrt{5}-\sqrt{3-(\sqrt{20}-3)}}`
`=\sqrt{\sqrt{5}-\sqrt{6-\sqrt{20}}}`
`=\sqrt{\sqrt{5}-\sqrt{(\sqrt{5}-1)^2}}`
`=\sqrt{\sqrt{5}-(\sqrt{5}-1)}`
`=\sqrt{1)`
`=1`
