Correct Answer - B
`((x-sqrt(24)(sqrt(75)+sqrt(50)))/(sqrt(75)-(sqrt(50)))=1`
`implies(x-sqrt(24))=(sqrt(75)-sqrt(50))/(sqrt(75)+sqrt(50))`
`implies(x-sqrt(24))=((sqrt(75)-sqrt(50))^(2))/(75-50)`
`implies(x-sqrt(24))=(75+50-2sqrt(75)sqrt(50))/25`
`implies (x-sqrt(24))=(125-xx5sqrt(3)xx5sqrt(2))/25`
`=(x-sqrt(24))=(125-50sqrt(6))/25`
`implies(x-sqrt(24))=(25(5-2sqrt(6)))/25`
`impliesx-2sqrt(6)=5-2sqrt(6)`
`impliesx=5`