निम्नलिखित को सरल करें :
`(4+sqrt(5))/(4-sqrt(5))+(4-sqrt(5))/(4+sqrt(5))`

Explanation

`(4+sqrt(5))/(4-sqrt(5))+(4-sqrt(5))/(4+sqrt(5))=(4+sqrt(5))/(4-sqrt(5))xx(4+sqrt(5))/(4+sqrt(5))+(4-sqrt(5))/(4+sqrt(5))xx(4-sqrt(5))/(4-sqrt(5))`
`=((4+sqrt(5))^(2))/((4-sqrt(5))(4+sqrt(5)))+((4-sqrt(5))^(2))/((4+sqrt(5))(4-sqrt(5)))`
`=(4^(2)+(sqrt(5))^(2)+2xx4xxsqrt(5))/(4^(2)-(sqrt(5))^(2))+(4^(2)+(sqrt(5))^(2)-2xx4xxsqrt(5))/(4^(2)-(sqrt5)^(2))`
`=(16+5+8sqrt(5))/(16-5)+(16+5-8sqrt(5))/(16-5)=(21+8sqrt(5)+21-8sqrt(5))/(16-5)=(42)/(11)`