`(sqrt(x)-1)^(2)=8-sqrt(28)` find the value of x

If (2+sqrt(5))/(2-sqrt(5)) =x and (2-sqrt(5))/(2+sqrt(5)) =y , find the value of x^(2)-y^(2) .

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

If x=sqrt(3) find the value of 2x^2-8x+7.

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

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

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

(i) If x = (6ab)/(a + b) , find the value of : (x + 3a)/(x - 3a) + (x + 3b)/(x - 3b) . (ii) a = (4sqrt(6))/(sqrt(2) + sqrt(3)) , find the value of : (a + 2sqrt(2))/(a - 2sqrt(2)) + (a + 2sqrt(3))/(a - 2sqrt(3)) .

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

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

If x=3+sqrt(8) , find the value of x^2+1/(x^2)