`(2+sqrt(3))/(2-sqrt(3))+ (2-sqrt(3))/(2+sqrt(3))`=

Simplify (i) (4+ sqrt(5))/(4-sqrt(5))+(4-sqrt(5))/(4+sqrt(5)) (ii) (1)/(sqrt(3) + sqrt(2)) - (2)/(sqrt(5)-sqrt(3)) -(2)/(sqrt(2) - sqrt(5)) (iii) (2+sqrt(3))/(2-sqrt(3)) + (2-sqrt(3))/(2+sqrt(3)) + (sqrt(3)-1)/(sqrt(3)+1) (iv) (2+sqrt(6))/(sqrt(2)+sqrt(3))+(6sqrt(2))/(sqrt(6)+sqrt(3)) -(8sqrt(3))/(sqrt(6)+sqrt(2))

If a=(2 + sqrt(3))/(2-sqrt(3)) and b = (2-sqrt(3))/(2+ sqrt(3)) , then the value of a^(2)+b^(2)+ab is :

(3+sqrt(2))(2-sqrt(3))(3-sqrt(2))(2+sqrt(3))

If a =( 4sqrt(6))/(sqrt(2)+sqrt(3)) then the value of (a+2sqrt(2))/(a-2sqrt(2))+(a+2sqrt(3))/(a-2sqrt(3))

If a=(4sqrt(6))/(sqrt(2)+sqrt(3)) then the value of (a+2sqrt(2))/(a-2sqrt(2))+(a+2sqrt(3))/(a-2sqrt(3))

If a=(2+ sqrt3)/(2- sqrt3) and b=(2- sqrt3)/(2+sqrt3) , then the value of a^2+b^2+ab is: यदि a=(2+ sqrt3)/(2- sqrt3) और b=(2- sqrt3)/(2+sqrt3) , तो a^2+b^2+ab का मान:

If a = (2 + sqrt3)/(2-sqrt3) and b = (2-sqrt3)/(2+sqrt3) then the value of (a^2+b^2+ab) is

Domain of f(x)=sin^(-1)[2-4x^2], where [.] denotes the greatest integer function, is: (a)[-(sqrt(3))/2,(sqrt(3))/2]-{0} (b) [-(sqrt(3))/2,(sqrt(3))/2] (c)[-(sqrt(3))/2,(sqrt(3))/2)-{0} (d) (-(sqrt(3))/2,(sqrt(3))/2)-0

Domain of f(x)=sin^(-1)[2-4x^2], where [.] denotes the greatest integer function, is: (a)[-(sqrt(3))/2,(sqrt(3))/2]-{0} (b) [-(sqrt(3))/2,(sqrt(3))/2] (c)[-(sqrt(3))/2,(sqrt(3))/2)-{0} (d) (-(sqrt(3))/2,(sqrt(3))/2)-0

A beam of light is sent along the line x-y=1 , which after refracting from the x-axis enters the opposite side by turning through 30^0 towards the normal at the point of incidence on the x-axis. Then the equation of the refracted ray is (2-sqrt(3))x-y=2+sqrt(3) (2+sqrt(3))x-y=2+sqrt(3) (2-sqrt(3))x+y=(2+sqrt(3)) y=(2-sqrt(3))(x-1)