Slove `(3-sqrt(11)) (3+ sqrt(11))`

Simplify (i) (3-sqrt(11))(3+sqrt(11)) (ii) (-3+ sqrt(5))(-3-sqrt(3)-sqrt(5)) (iii) (3- sqrt(3))^(2) (iv) (sqrt(5) - sqrt(3))^(2) (v) (5+ sqrt(7))(2+ sqrt(5)) (vi) (sqrt(5) - sqrt(2))(sqrt(2) - sqrt(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))

sqrt(x-4)+3=sqrt(x+11)

sqrt(?)-11=sqrt(1521)

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))

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

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

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))

Subtract the number (10-sqrt11) and (-5+3sqrt11)

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)