Đáp án:
Rút gọn:
`\frac{sqrt6+sqrt14}{2sqrt3+sqrt28}`
`= \frac{sqrt6+sqrt14}{2sqrt3+2sqrt7}`
`= \frac{sqrt6+sqrt14}{2sqrt3+2sqrt7}xx\frac{2sqrt3-2sqrt7}{2sqrt3-2sqrt7}`
`= \frac{2sqrt18-2sqrt42+2sqrt42-2sqrt98}{4xx3-4xx7}`
`= \frac{6sqrt2-14sqrt2}{12-28}`
`= \frac{-8sqrt2}{-16}`
`= \frac{sqrt2}{2}`
Tính giá trị:
`sqrt{117^2-108^2}`
`= sqrt{(117-108)(117+108)}`
`= sqrt{9xx225}`
`= 3xx15`
`= 45`