`a)`
`\sqrt{27000}/\sqrt{3000}`
`= \sqrt{27000/3000}`
`= \sqrt{27/3}`
`= \sqrt{9}`
`= 3`
`b)`
`\sqrt{259/296}`
`= \sqrt{(259 : 37)/(296 : 37)}`
`= \sqrt{7/8}`
`= \sqrt{14}/4`
`c)`
`\sqrt{882/121}`
`= \sqrt{882}/\sqrt{121}`
`= \sqrt{882}/11`
`= (7\sqrt{18})/11`
`= (21\sqrt{2})/11`
`d)`
`\sqrt{45mn}/\sqrt{20mn}`
`= \sqrt{(45mn)/(20mn)}`
`= \sqrt{45/20}`
`= \sqrt{9/4}`
`= 3/2`
`đ)`
`\sqrt{16a^4b^6}/(128a^6b^6)`
`= \sqrt{(4a^2b^3)^2}/(128a^6b^6)`
`= (4a^2b^3)/(128a^6b^6)`
`= 1/(32a^4b^3)`