(3-sqrt(11))(3+sqrt(11))

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)

Simplify (sqrt(13)-sqrt(11))/(sqrt(13)+sqrt(11)) + (sqrt(13)+sqrt(11))/(sqrt(13)-sqrt(11))

Let z_(1)=(2sqrt(3)+ i6sqrt(7))/(6sqrt(7)+ i2sqrt(3))" and "z_(2)=(sqrt(11)+ i3sqrt(13))/(3sqrt(13)- isqrt(11)) . Then |(1)/(z_1)+(1)/(z_2)| is equal to

On the ellipse 2x^(2)+3y^(2)=1 the points at which the tangent is parallel to 4x=3y+4 are ( i )((2)/(sqrt(11)),(1)/(sqrt(11))) or (-(2)/(sqrt(11)),-(1)/(sqrt(11))) (ii) (-(2)/(sqrt(11)),(1)/(sqrt(11))) or ((2)/(sqrt(11)),-(1)/(sqrt(11))) (iii) (-(2)/(5),-(1)/(5)) (iv) ((3)/(5),(2)/(5)) or (-(3)/(5),-(2)/(5))

(sqrt(10)+sqrt(11)+sqrt(12))xx(sqrt(10)+sqrt(11)-sqrt(12))xx(sqrt(10)-sqrt(11)+sqrt(12))xx(sqrt(10)-sqrt(11)-sqrt(12))

If cosA=3/4, then 32 sin\ A/2 sin\ (5A)/2= (A) sqrt(11) (B) -sqrt(11) (C) 11 (D) -11

Evaluate : (sqrt(11)-sqrt(7))/(sqrt(11)+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))