If `x` is very large as compare to `y ,` then prove that `sqrt(x/(x+y))dotsqrt(x/(x-y))=1+(y^2)/(2x^2)` .

If x is very large as compare to y, then prove that sqrt((x)/(x+y))*sqrt((x)/(x-y))=1+(y^(2))/(2x^(2))

If x is very large as compare to y,then the value of kin sqrt((x)/(x+y))sqrt((x)/(x-y))=1+(y^(2))/(kx^(2))

if x is very large as compare to y,then the value of k in sqrt((x)/(x+y))sqrt((x)/(x-y))=1+(y^(2))/(kx^(2))

If x>y prove that sqrt(y+sqrt(2xy-x^2))+sqrt(y-sqrt(2xy-x^2)) = sqrt(2x) .

If y={x+sqrt(x^2+a^2)}^n , then prove that (dy)/(dx)=(n y)/(sqrt((x^2+a^2)

If x , y ,z are positive real numbers show that: sqrt(x^(-1)y)dotsqrt(y^(-1)z)dotsqrt(z^(-1)x)=1

If x , y ,z are positive real numbers show that: sqrt(x^(-1)y)dotsqrt(y^(-1)z)dotsqrt(z^(-1)x)=1

If sqrt(1-x^2) + sqrt(1-y^2)=a(x-y) , prove that (dy)/(dx)= sqrt((1-y^2)/(1-x^2))

If sqrt(1-x^2) + sqrt(1-y^2)=a(x-y) , prove that (dy)/(dx)= sqrt((1-y^2)/(1-x^2))

If sqrt(1-x^(2))+sqrt(1-y^(2))=a(x-y) , then prove that (dy)/(dx)=sqrt((1-y^(2))/(1-x^(2)))