`sqrt(125)y^2+sqrt(25 y^4)b y5y^2`

Divide (sqrt(125))y^(2) by 5y^(2)

If sqrt(1-x^4) + sqrt(1-y^4) =k(x^2 - y^2) then show that dy/dx = {x sqrt(1-y^4)}/{y sqrt(1-x^4)}

Divide sqrt(125)y^(2) by 5y^(2)

Evaluate (sqrt(x^2-y^2)+x)/(sqrt(x^2+y^2)+y) divide (sqrt(x^2+y^2)-y)/(x-sqrt(x^2-y^2))

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

(a+c sqrt(b))(2+y sqrt(b))

(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) =