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Simplify (i) (4+ sqrt(5))/(4-sqrt(5)...

Simplify
(i) `(4+ sqrt(5))/(4-sqrt(5))+(4-sqrt(5))/(4+sqrt(5))`
(ii) `(1)/(sqrt(3) + sqrt(2)) - (2)/(sqrt(5)-sqrt(3)) -(2)/(sqrt(2) - sqrt(5))`
(iii) `(2+sqrt(3))/(2-sqrt(3)) + (2-sqrt(3))/(2+sqrt(3)) + (sqrt(3)-1)/(sqrt(3)+1)`
(iv) `(2+sqrt(6))/(sqrt(2)+sqrt(3))+(6sqrt(2))/(sqrt(6)+sqrt(3)) -(8sqrt(3))/(sqrt(6)+sqrt(2))`

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