[" (i) "(5+sqrt(7))(2+sqrt(5))" (ing expressions: "],[" (iii) "(sqrt(3)+sqrt(7))^(2)]

Simplify the following expressions. (i) (5+sqrt(7))(2+sqrt(5)) (ii) (5+sqrt(5))(5-sqrt(5)) (iii) (sqrt(3)+sqrt(7))^2 (iv) (sqrt(11)-sqrt(7))(sqrt(11)+sqrt(7))

Simplify the following expressions . i) (5+sqrt(7))(2+sqrt(5)) ii) (5+sqrt(5))(5-sqrt(5)) iii) (sqrt(3)+sqrt(7))^(2) iv) (sqrt(11)-sqrt(7))(sqrt(11)+sqrt(7))

(2sqrt(7))/(sqrt(5)-sqrt(3))

Simplify the following expressions.(i) (5+sqrt(7))(2+sqrt(5)) (ii) (5+sqrt(5))(5-sqrt(5)) (iv) (sqrt(11)-sqrt(7))(sqrt(11)+sqrt(7))

Rationalise the denominator of each of the following. (i) (1)/(sqrt(7)) (ii) (sqrt(5))/(2sqrt(3)) (iii) (1)/(2+ sqrt(3)) (1)/(sqrt(3)) (v) (1)/((5+3sqrt(2)) (vi) (1)/(sqrt(7) - sqrt(6)) (vi) (1)/(sqrt(7) - sqrt(6)) (viii) (1+ sqrt(2))/(2-sqrt(2)) (ix) (3-2sqrt(2))/(3+2sqrt(2))

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

Simplify the following expressions: (i) (11+sqrt(11))(11-sqrt(11)) (ii) (5+sqrt(7))(5-sqrt(7)) (iii) (sqrt(8)-sqrt(2))(sqrt(8)+sqrt(2)) (iv) (sqrt(7)-3)(sqrt(7)+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) (4+sqrt(7))(3+sqrt(2)) (ii) (3+sqrt(3))(5-sqrt(2)) (iii) (sqrt(5)-2)(sqrt(3)-sqrt(5)) (iv) (sqrt(5)+sqrt(2))(sqrt(3)+sqrt(2))