" 31.If "x=sqrt(7)-sqrt(5),y=sqrt(13)-sqrt(11)," then: "

If x=sqrt(7)-sqrt(5) and y=sqrt(13)-sqrt(11) then

If x=sqrt(11)-sqrt(10),y=sqrt(12)-sqrt(11), then

If x=3-sqrt(7),y=sqrt(8)-sqrt(6),z=sqrt(7)-sqrt(5) then

(sqrt(x)+sqrt(y))^(2)=x+y+2sqrt(xy) and sqrt(x)sqrt(y)=sqrt(xy) , where x and y are positive real numbers . If x=2sqrt(5)+sqrt(3) and y=2sqrt(5)-sqrt(3) , then x^(4)+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

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