यदि `((x-sqrt(24))(sqrt(75)+sqrt(50)))/(sqrt(75)-sqrt(50))=1` है तो `x` का मान ज्ञात करें।

Options

A. `sqrt(5)`
B. `5`
C. `2sqrt(5)`
D. `3sqrt(5)`

Answer

B

Explanation

`((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`