a=(3+sqrt(5))/(2)quad " d "quad a^(2)+(1)/(a^(2))=

What is the value of (1)/(sqrt(5)+sqrt(3))+(2)/(3+sqrt(5))-(3)/(3+sqrt(3))?-(1)/(2) (b) 0( c) (1)/(2)(d)1

The eccentricity of the hyperbola x^(2)-4y^(2)=1 is a.(sqrt(3))/(2) b.(sqrt(5))/(2) c.(2)/(sqrt(3))d.(2)/(sqrt(5))

If a=(sqrt(5)+1)/(sqrt(5)-1) and b=(sqrt(5)-1)/(sqrt(5)+1), the value of ((a^(2)+ab+b^(2))/(a^(2)-ab+b^(2))) is (3)/(4) (b) (4)/(3)(c)(3)/(5)(d)(5)/(3)

(sqrt(2)(2+sqrt(3)))/(sqrt(3)(sqrt(3)+1))xx(sqrt(2)(2-sqrt(3)))/(sqrt(3)(sqrt(3)-1)) is equal to 3sqrt(2)(b)(sqrt(2))/(3) (c) (2)/(3) (d) (1)/(3)

[ If N=(sqrt(sqrt(5)+2)+sqrt(sqrt(5)-2))/(sqrt(sqrt(5)+1))-sqrt(3-2sqrt(2)) then N equals [ (A) 1, (B) 2sqrt(2)-1 (C) (sqrt(5))/(2), (D) (2)/(sqrt(sqrt(5)+1))]]

If |z_(1)| = sqrt(2), |z_(2)| = sqrt(3) and |z_(1) + z_(2)| = sqrt((5-2sqrt(3))) then arg ((z_(1))/(z_(2))) (not neccessarily principal) is (a) (3pi)/(4) (b) (2pi)/(3) (c) (5pi)/(4) (d) (5pi)/(2)

tan^(2)((1)/(2)sin^(-1)(2)/(3))= (A) (7+3sqrt(3))/(2) (B) (7-5sqrt(3))/(2) (C) (7-3sqrt(5))/(2) (D) (7+5sqrt(3))/(2)

Evaluate : Find the value of sqrt( 3 + sqrt(5)) a ) sqrt(3)/2 + 1/sqrt(2) b ) sqrt(3)/2 - 1/2 c ) sqrt(5)/2 - 1/sqrt(2) d ) sqrt(5)/sqrt(2) + 1/sqrt(2)

If angle between the lines (x-2)/(1)=(y-3)/(2)=(z+5)/(-2) and 2x-y-kz=lambda is cos^(-1)((2sqrt(2))/(3)) then find k( A) sqrt((3)/(5))(B)(3)/(sqrt(5))(C)(sqrt(5))/(3)(D)sqrt((5)/(3))

If x=5+2sqrt(6), then sqrt((x)/(2))-(1)/(sqrt(2x))= (a) 1 (b) 2 (c) 3 (d) 4