`S = [ 1/sqrt(3) - 1/sqrt(3) - 1/sqrt(3) ]^T` , Find S

Evaluate : 1/( 1 + sqrt (2) ) + 1/( sqrt(2) + sqrt (3) ) + 1/ ( sqrt(3) + sqrt (4) )

If a=(sqrt(3)+1)/(sqrt(3)-1) and b=(sqrt(3)-1)/(sqrt(3)+1) ,find the value of a^(2)+ab-b^(2)

If x=(sqrt(3)+1)/(sqrt(3)-1) and y=(sqrt(3)-1)/(sqrt(3)+1) then find the value of x^(2)+y^(2)

If int_(sinx)^1 t^2f(t)dt=1-sinx , then the value of f(1/sqrt(3)) is (A) 1/sqrt(3) (B) 1/3 (C) sqrt(3) (D) 3

If x = (sqrt(5) + sqrt(3))/(sqrt(5) - sqrt(3)) , find the value of x^(3) + (1)/(x^(3)) .

Which term of the GP sqrt(3), 1/sqrt(3), 1/(3sqrt(3)), 1/(9sqrt(3)) , ... Is 1/(729sqrt(3)) ?

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)

The value of (2 + sqrt(3))/(2- sqrt(3)) + (2- sqrt(3))/(2 + sqrt(3)) + ( sqrt(3) + 1)/(sqrt(3) -1) is