`(1/(\sqrt{5}-\sqrt{3})+1/(sqrt{5}+sqrt(3)))*sqrt5`
`= ((1(sqrt5+sqrt3))/((sqrt5-sqrt3)(sqrt5+sqrt3))+(1(sqrt5-sqrt3))/((sqrt5+sqrt3)(sqrt5-sqrt3)))sqrt5`
`= ((sqrt5+sqrt3)/(sqrt5^2-sqrt3^2)+(sqrt5-sqrt3)/(sqrt5^2-sqrt3^2))sqrt5`
`= (sqrt5+sqrt3+sqrt5-sqrt3)/2 * sqrt5`
`= (2sqrt5)/2 * sqrt5`
`= sqrt5sqrt5`
`= 5`