[x=1+sqrt(2)" ,then show "],[(x-(1)/(x))^(3)=8]

If x=1+sqrt(2) ,then show that : (x-(1)/(x))^(3)=8

if x=(3-2sqrt(2)) then show that (sqrt(x)+(1)/(sqrt(x)))=+-2

If y=(1)/(3)"log" (x+1)/(sqrt(x^(2)-x+1))+(1)/(sqrt(3))"tan"^(-1)(2x-1)/(sqrt(3)) , show that, (dy)/(dx)=(1)/(x^(3)+1)

If x = 3 + sqrt(8) then (x^(2) + (1)/(x^(2)))=?

If y= sqrt(x^2+6x+8) , then show that (1+ iy)^(1//2)+(1-iy)^(1//2)= sqrt(2(x+4)) .

If x=(1)/(2)(sqrt(a)+(1)/(sqrt(a))) , then show that (sqrt(x^(2)-1))/(x-sqrt(x^(2)-1))=(a-1)/(2) .

If x=3+sqrt(8), then x^(2)+(1)/(x^(2)) will be

If y="cot"^(-1) (sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x)) , show that [(dy)/(dx)]_(x=(1)/(2))= -(1)/(sqrt(3)) .