Let `x=sqrt(3-sqrt5) and y=sqrt(3+sqrt5)` If the value of the expression `x-y+2x^2y+2xy^2-x^4y+xy^4` can be expressed in the form `sqrtp+sqrtq` where `p. q in N,` then find the value of `(p+q).`

Let x=sqrt(3-sqrt(5)) and y=sqrt(3+sqrt(5)) If the value of the expression x-y+2x^(2)y+2xy^(2)-x^(4)y+xy^(4) can be expressed in the form sqrt(p)+sqrt(q) where p.q in N, then find the value of (p+q)

If x=3sqrt(5)+2sqrt(2) and y=3sqrt(5)-2sqrt(2) , then the value of (x^(2)-y^(2))^(2) is

If x+y=sqrt3, x-y=sqrt2 , then the expression 8xy(x^2+y^2) has the value

If p = (3-sqrt(5))/(3+sqrt(5)) and q = (3+sqrt5)/(3-sqrt(5)) ,find the value of p^(2) + q^(2) .

If x = (sqrt5 -1)/(sqrt5 +1) and y (sqrt5 +1)/(sqrt5-1) then find the value of (x^(2)/y + y^(2)/x)

If x=(sqrt3+1)/(sqrt3-1) and xy=1 then find the value of (3x^2+5xy+3y^2)/(3x^2-5xy+3y^2)