If `x=(sqrt2+1)/(sqrt2-1)`,then `x+frac1x=?`

If x=sqrt3+sqrt2 , then x+frac1x=

If y=sqrt(x)+1/(sqrt(x)) , then (dy)/(dx) \ at \ x=1 is a. 1 b. 1/2 c. 1/(sqrt(2)) d. 0

Let f(x)=(sqrt(x-2sqrt(x-1)))/(sqrt(x-1)-1).x then

If x=(sqrt(2a+1)+sqrt(2a-1))/(sqrt(2a+1)-sqrt(2a-1)) , prove that x^(2)-4ax+1=0

If (1)/(sqrt2) lt x lt 1 , then prove that cos^(-1) x + cos^(-1) ((x + sqrt(1 - x^(2)))/(sqrt2)) = (pi)/(4)

IfI=int(dx)/(x^3sqrt(x^2-1)),t h e nIe q u a l s a. 1/2((sqrt(x^2-1))/(x^3)+tan^(-1)sqrt(x^2-1))+C b. 1/2((sqrt(x^2-1))/(x^2)+xtan^(-1)sqrt(x^2-1))+C c. 1/2((sqrt(x^2-1))/x+tan^(-1)sqrt(x^2-1))+C d. 1/2((sqrt(x^2-1))/(x^2)+tan^(-1)sqrt(x^2-1))+C

If x= 3 + 2 sqrt2 , find (1)/(x)

Prove that sqrt(x^2+2x+1)-sqrt(x^2-2x+1)={-2, x 1

Prove that sqrt(x^2+2x+1)-sqrt(x^2-2x+1)={-2, x 1

Let x-1/x=(sqrt2)i where i=sqrt(-1) . Then the value of x^(2187)-1/x^(2187) is :