If `sqrt(x)+sqrt(y)=sqrt(18+6sqrt(5)),` find the value of x.

If x = (sqrt(5) + sqrt(3))/(sqrt(5) - sqrt(3)) , find the value of x^(3) + (1)/(x^(3)) .

(1) sqrt(13-x sqrt(10))=sqrt(8)+sqrt(5) then find the value of x,(2) find sqrt(7+4sqrt(3))

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

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

If x=(sqrt(5)-sqrt(3))/(sqrt(5)+sqrt(3)),y=(sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3)) find the value of (x-y)^(2)

If x=sqrt(7+sqrt(7));y=sqrt(7-sqrt(7)) then find the value of (x^(6)+y^(6))/(14)

given x=(sqrt(7)+sqrt(3))/(sqrt(7)-sqrt(3)),y=(sqrt(7)-sqrt(3))/(sqrt(7)+sqrt(3)) find the value of x^(4)+y^(4)+(x+y)^(4)

If x=sqrt(7)-sqrt(5),y=sqrt(5)-sqrt(3),z=sqrt(3)-sqrt(7) then find the value of x^(3)+y^(3)+z^(3)-2xyz