Đáp án + Giải thích các bước giải:
`\sqrt{\sqrt5-\sqrt{3-\sqrt{29-12\sqrt5}}}`
`=\sqrt{\sqrt5-\sqrt{3-\sqrt{20-12\sqrt5+9}}}`
`=\sqrt{\sqrt5-\sqrt{3-\sqrt{(2\sqrt5-3)^2}}}`
`=\sqrt{\sqrt5-\sqrt{3-|2\sqrt5-3|}}`
`=\sqrt{\sqrt5-\sqrt{3-2\sqrt5+3}}`
`=\sqrt{\sqrt5-\sqrt{6-2\sqrt5}}`
`=\sqrt{\sqrt5-\sqrt{5-2\sqrt5+1}}`
`=\sqrt{\sqrt5-\sqrt{(\sqrt5-1)^2}}`
`=\sqrt{\sqrt5-|\sqrt5-1|}`
`=\sqrt{\sqrt5-\sqrt5+1}`
`=\sqrt{1}`
`=1`