if `x=1/(3-2sqrt2),y=1/(3+2sqrt2)` find `(a)x^2+y^2 (b)x^3+y^3`

If x= (1)/(sqrt3 + sqrt2), y= (1)/(sqrt3- sqrt2) then find (1)/(x +1) + (1)/(y+ 1)

The complex numbrs x and y such that x,x+2y,2x+y are n A.P. and (y+1)^2, xy+5, (x+1)^2 are in G.P. are (A) x=3, y=1 (B) x=-1+2sqrt(2)i, y=1/3 (-1+2sqrt(2)i) (C) x=sqrt(2)+i, y=3sqrt(5)-sqrt(2)i (D) x=-1(1+2sqrt(2)i), y= - 1/3 (1+2sqrt(2)i)

The complex numbrs x and y such that x,x+2y,2x+y are n A.P. and (y+1)^2, xy+5, (x+1)^2 are in G.P. are (A) x=3, y=1 (B) x=-1+2sqrt(2)i, y=1/3 (-1+2sqrt(2)i) (C) x=sqrt(2)+i, y=3sqrt(5)-sqrt(2)i (D) x=-1(1+2sqrt(2)i), y= - 1/3 (1+2sqrt(2)i)

If x = 2 +sqrt3, y = 2 - sqrt3 then the value (x^2+y^2)/(x^3+y^3) is

If x= (sqrt3+sqrt2)/(sqrt3-sqrt2) and y=(sqrt3-sqrt2)/(sqrt3+sqrt2) , then find the value of x^2+y^2

If x=(sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2)) and y=(sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2)) find x^(2)+y^(2)

If x=(sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2)) and y=(sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2)), find x^(2)+y^(2)

If x and y are rational and if x (3 + 2 sqrt2) - y sqrt2 = y(5 -3 sqrt2) + 7(2 + x sqrt2) , then find the value of x and y

If x=(sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2)) and y=(sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2)) , find x^2+y^2