" If "x=3-2sqrt(2)," show that "(sqrt(x)-(1)/(x))=+-2

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

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

If x=5+2sqrt(6), then sqrt(x)-(1)/(sqrt(x)) is a.2sqrt(2)b2sqrt(3)c*sqrt(3)+sqrt(2)d*sqrt(3)-sqrt(2)

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 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)) .

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

If 2x = sqrta+1/sqrta . Show that sqrt(x^2-1)/(x-sqrt(x^2-1))(a-1)

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 y = sin^(-1) x^2 sqrt(1 - x^2) + xsqrt(1 - x^4) , show that (dy)/(dx) - (2x)/(sqrt(1 - x^4)) = 1/(sqrt(1 - x^2))