Question

Tính
1. \(\sqrt{45}:\sqrt{80}\)
2. \(\sqrt{\left(2.3\right)^5}:\sqrt{2^3.3^5}\)
3. \(\sqrt{54}:\sqrt{2}:\sqrt{3}\)
4. \(\dfrac{\sqrt{3}}{\sqrt{75}}:\dfrac{\sqrt{52}}{\sqrt{117}}\)

Answer 1

`sqrt{45} : sqrt{80}`

`= 3sqrt{5} : 4sqrt{5}`

`= 3/4`

`sqrt{(2.3)^5} : sqrt{2^3 . 3^5}`

`= sqrt{2^5 .3^5} : sqrt{2^3 . 3^5}`

`= sqrt{(2^5 .3^5)/(2^3 . 3^5)}`

`= sqrt{2^2}`

`= 2`

Answer 2

`sqrt{54} : sqrt{2} : sqrt{3} `

`= 3sqrt{2}.sqrt{3} : sqrt{2} : sqrt{3} `

`= 3sqrt{3} : sqrt{3}`

`= 3`

``

`sqrt{3}/sqrt{75} : sqrt{52}/sqrt{117}`

`= sqrt{3}/(5sqrt{3}) : (2sqrt{13})/(3sqrt{13})`

`= 1/5 : 2/3`

`= 3/10`