Đáp án:
Giải thích các bước giải:
`\sqrt{(5+2\sqrt{6})/(5-2\sqrt{6})} + \sqrt{(5-2\sqrt{6})/(5+2\sqrt{6})}`
`= \sqrt{((5+2\sqrt{6})(5+2\sqrt{6}))/((5-2\sqrt{6})(5+2\sqrt{6}))} + \sqrt{((5-2\sqrt{6})(5-2\sqrt{6}))/((5+2\sqrt{6})(5-2\sqrt{6}))`
`= \sqrt{((5+2\sqrt{6})(5+2\sqrt{6}))/(25-24)} + \sqrt{(5-2\sqrt{6)(5-2\sqrt{6}))/(25-24)`
`= \sqrt{(5+2\sqrt{6})(5+2\sqrt{6})} + \sqrt{(5-2\sqrt{6})(5-2\sqrt{6})}`
`= \sqrt{(5+2\sqrt{6})^2} + \sqrt{(5-2\sqrt{6})^2}`
`= |5 + 2\sqrt{6}| + |5-2\sqrt{6}|`
`= 5 + 2\sqrt{6} + 5 - 2\sqrt{6}`
`= (2\sqrt{6} - 2\sqrt{6}) + (5+5)`
`= 10`
