" 53.If "x=(2+sqrt(3))" ,show that "(x^(3)+(1)/(x^(3)))=52" ."

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

Show that : x^(3)+(1)/(x^(3))=52 , if x =2 + sqrt(3)

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=sqrt(3)-sqrt(2) then (1)/(x^(3))-x^(3)=

If x = (sqrt(3) + sqrt(2))/(sqrt(3) - sqrt(2)) , find the value of x^(2) + (1)/(x^(2)) .

If x = sqrt(3)+ sqrt(2) , then the value of x^(3)+x+(1)/(x)+(1)/(x^(3)) is