" 8."(5+sqrt(7))(5-sqrt(7))

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))

Simplify the following expressions: (11+sqrt(11))(11-sqrt(11))( ii) (5+sqrt(7))(5-sqrt(7))(sqrt(8)-sqrt(2))(sqrt(8)+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)) (iiii)(sqrt(7)-3)(sqrt(7)+3)

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)

5/(sqrt(5)-sqrt(7))

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))

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))

Prove that: 1/(3-sqrt(8))-1/(sqrt(8)-\ sqrt(7))+1/(sqrt(7)-\ sqrt(6))-1/(sqrt(6)-\ sqrt(5))+1/(sqrt(5)-2)=5