[" (i) "(sqrt(2)+2)^(2)],[" (iii) "(sqrt(2)+sqrt(3))^(2)]

(iii) (sqrt(4)-sqrt(3))^(2)

(iii) (2-sqrt(2)) (2+sqrt(2))

(iii) (8+sqrt(3))(2+sqrt(3))

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))

(iii) (2-sqrt(2))/(sqrt(5))

Write the lowest rationalising factor of : (i) 5sqrt(2)" (ii) "sqrt(18)-sqrt(50)" (iii) "(2sqrt(2)+2sqrt(3))

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))

(iii) (2+sqrt(6))/(sqrt(2))

Rationalise the denominator of each of the following (i) (sqrt(3)+\ 1)/(sqrt(2)) (ii) (sqrt(2)+\ sqrt(5))/(sqrt(3)) (iii) (3sqrt(2))/(sqrt(5))

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))