Simply.
`(i) (3+sqrt(3)) (2 + sqrt2)" " (ii) (6+sqrt(6))(6-sqrt(6))`
`(iii) (sqrt(3) + sqrt(2))^(2) " " (iv) (sqrt(5)-sqrt(2))(sqrt(5) + sqrt(2))`

(sqrt(6)+sqrt(3))/(sqrt(5)+sqrt(2))

Simplify each of the following expressions : (i) (3+sqrt(3))(2+sqrt(2)) (ii) (3+sqrt(3))(3-sqrt(3)) (iii) (sqrt(5)+sqrt(2))^(2) (iv) (sqrt(5)-sqrt(2))(sqrt(5)+sqrt(2))

Simplify each of the following expressions: (i) (3+sqrt(3))(2+sqrt(2)) (ii) (3+sqrt(3))(3-sqrt(3)) (iii) (sqrt(5)+sqrt(2))^2 (iv) (sqrt(5)-sqrt(2))(sqrt(5)+sqrt(2))

Simplify each of the following expressions: (i) (3+sqrt(3))(2+sqrt(2)) (ii) (3+sqrt(3))(3-sqrt(3)) (iii) (sqrt(5)-sqrt(2))^(2) (iv) (sqrt(5)-sqrt(2))(sqrt(5)+sqrt(2))

Simplify the following expressions : (i) (3+sqrt(3))(2+sqrt(2)) (ii) (2+sqrt(3))(2-sqrt(3)) (iii) (sqrt(5)+sqrt(2))^(2) (iv) (sqrt(5)-sqrt(2))(sqrt(5)+sqrt(2))

(sqrt(6+2sqrt(5)))(sqrt(6-2sqrt(5)))

Simplify: (i) (2 sqrt(2) + 3 sqrt(3)) (2 sqrt(2) - 3 sqrt(3)) (ii) (2 sqrt(8) - 3 sqrt(2))^(2) (iii) (sqrt(7) + sqrt(6))^(2) (iv) (6 - sqrt(2))(2 + sqrt(3))

Evaluate: (sqrt(3)+sqrt(5))/(sqrt(6)+sqrt(2))

(4(sqrt(6) + sqrt(2)))/(sqrt(6) - sqrt(2)) - (2 + sqrt(3))/(2 - sqrt(3)) =

(sqrt(6)+sqrt(5)+ 1/(sqrt(6)+sqrt(5)))^2