`(2+sqrt(3))/(2-sqrt(3))+(2-sqrt(3))/(2+sqrt(3))+(sqrt(3)+1)/(sqrt(3-1)` का मान ज्ञात करें।

Options

A. `16+sqrt(3)`
B. `4-sqrt(3)`
C. `2-sqrt(3)`
D. `2+sqrt(3)`

Answer

A

Explanation

`(2+sqrt(3))/(2-sqrt(3))+(2-sqrt(3))/(2+sqrt(3))+(sqrt(3)+1)/(sqrt(3)-1)`
`implies ((2+sqrt(3))/(2-sqrt(3))xx(2+sqrt(3))/(2+sqrt(3)))+((2-sqrt(3))/(2+sqrt(3))xx(2-sqrt(3))/(2-sqrt(3)))`
`+((sqrt(3)+1)/(sqrt(3)-1)xx(sqrt(3)+1)/(sqrt(3)+1))`
`implies ((2+sqrt(3))^(2))/(4-3)+((2-sqrt(3))^(2))/(4-3)+((sqrt(3)+1)^(2))/(3-1)`
`implies 4+3+4sqrt(3)+4+3-4sqrt(3)+((3+1+2sqrt(3))/2)`