Solve `(sqrt(5)-1)/(sqrt(5)+1)+(sqrt(5)+1)/(sqrt(5)-1)`

(sqrt(5)-1)/(sqrt(5)+1)+(sqrt(5)+1)/(sqrt(5)-1)=a+b sqrt(5)

If x=(sqrt(5)+1)/(sqrt(5)-1) and y=(sqrt(5)-1)/(sqrt(5)+1) find the value of x^(2)+y^(2)

(sqrt2 + 1)/sqrt5

(sqrt(5)-1)/(sqrt(5)+1)+(sqrt(5)+1)/(sqrt(5)-1) =a+b sqrt(5) Then find the value of a and b

sqrt(5){(sqrt(5)+1)^(50)-(sqrt(5)-1)^(50)}

The value of (1)/( sqrt(7) - sqrt(6)) - (1)/( sqrt(6) - sqrt(5) ) +(1)/( sqrt(5) -2) - (1)/( sqrt(8) - sqrt(7) ) +(1)/( 3- sqrt(8)) is

The value of (1)/(2)((sqrt(5)+1)/(1+sqrt(5)+sqrt(a))+(sqrt(5)-1)/(1-sqrt(5)+sqrt(a)))(sqrt(a)-(4)/(sqrt(a))+2)sqrt(0.002) is :