`x+sqrt(5)=4+sqrt(y),t h e nx+y=`

(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 y=sqrt(x+sqrt(y+sqrt(x+sqrt(y+oo)))),t h e np rov et h a t(dy)/(dx)=(y^2-x)/(2y^3-2x y-1)

If y=sqrt(x+sqrt(y+sqrt(x+sqrt(y+oo)))),t h e np rov et h a t(dy)/(dx)=(y^2-x)/(2y^3-2x y-1)

If x=sqrt(5)+sqrt(3) and y=sqrt(5)-sqrt(3), then x^(4)-y^(4)

If y=(sqrt(a+x)-sqrt(a-x))/(sqrt(a+x)+sqrt(a-x)),t h e n(dy)/(dx)i se q u a lto (a y)/(xsqrt(a^2-x^2)) (b) (a y)/(sqrt(a^2-x^2)) (a y)/(xsqrt(a^2-x^2)) (d) none of these

If sqrt(3)x-sqrt(2y)=sqrt(3);sqrt(5)x+sqrt(3)y=sqrt(2) then x and y are

If sqrt(x) + sqrt(y)=4, f i n d (dx/dy) a t (y = 1).

If sqrt(x) + sqrt(y)=4, f i n d (dx/dy) a t (y = 1).