Evaluate :
`( 2 + sqrt(5) ) /( 2 - sqrt(5) ) + ( 2 - sqrt(5) ) /( 2 + sqrt(5) ) + ( sqrt(5) - 1 ) /( sqrt(5) -1 )`

Evaluate : ( sqrt(5) - 2 )/ ( sqrt ( 5 ) +2 ) + ( sqrt(5) + 2 )/ ( sqrt ( 5 ) - 2 )

Evaluate : ( sqrt(5) + sqrt(2) ) times ( sqrt(5) + sqrt(2) )

Evaluate : ( sqrt(2) - sqrt(3) + sqrt(5) )times ( sqrt(2) + sqrt(3) + sqrt(5) )

(2sqrt3 + sqrt5)(2sqrt3 - sqrt5)

Find ( sqrt(5) + 1 )/( sqrt(5 ) - 1) = ( A ) ( 3 + sqrt(5) )/2 ( A ) ( 3 - sqrt(5) )/2 ( A ) ( 3 + sqrt(5) )/4 ( A ) ( 3 - sqrt(5) )/4

Evaluate : Find the value of sqrt( 3 + sqrt(5)) a ) sqrt(3)/2 + 1/sqrt(2) b ) sqrt(3)/2 - 1/2 c ) sqrt(5)/2 - 1/sqrt(2) d ) sqrt(5)/sqrt(2) + 1/sqrt(2)

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

(sqrt(5)-2)(sqrt(3)-sqrt(5))

If a=(2-sqrt(5))/(2+sqrt(5)) and b=(2+sqrt(5))/(2-sqrt(5)), find a^(2)-b^(2)

Simplify: (sqrt(5)-2)/(sqrt(5)+2)-(sqrt(5)+2)/(sqrt(5)-2)