Simplify: `(5+\ sqrt(5))\ (5-\ sqrt(5))` (ii) `(3+2sqrt(2))\ (3-2sqrt(2))`

Simplify: (i) (5+\ sqrt(5))\ (5-\ sqrt(5)) (ii) (3+2sqrt(2))\ (3-2sqrt(2))

Simplify : (i) (5+sqrt(5))(5-sqrt(5)) (ii) (3+2sqrt(2))(3-2sqrt(2))

Simplify : 3/(5-sqrt(3))+2/(5+\ sqrt(3))

Simplify (5+sqrt(2))(3+sqrt(5))

Simplify: (i) (7+3\ sqrt(5))/(3+\ sqrt(5))-(7-3\ sqrt(5))/(3-\ sqrt(5)) (ii) 1/(2+sqrt(3)\ )+2/(sqrt(5)-\ sqrt(3))+1/(2-\ sqrt(5))

Simplify :(3)/(5-sqrt(3))+(2)/(5+sqrt(3))

Rationales the denominator and simplify: (1+sqrt(2))/(3-2sqrt(2))( ii) (2sqrt(6)-sqrt(5))/(3sqrt(5)-2sqrt(6))

Simplify (i) (3-sqrt(11))(3+sqrt(11)) (ii) (-3+ sqrt(5))(-3-sqrt(3)-sqrt(5)) (iii) (3- sqrt(3))^(2) (iv) (sqrt(5) - sqrt(3))^(2) (v) (5+ sqrt(7))(2+ sqrt(5)) (vi) (sqrt(5) - sqrt(2))(sqrt(2) - sqrt(3))

Simplify the following expressions: (i)\ (4+\ sqrt(7))\ (3+sqrt(2)) (ii)\ (3+sqrt(3))\ (5-sqrt(2)) (iii)\ (sqrt(5)-2)\ (sqrt(3)-sqrt(5))

Simplify the following expressions: (i) (3+sqrt(3))\ (2+sqrt(2)) (ii) (5+\ sqrt(7))\ (2+sqrt(5))