Well, it looks symmetric!

Algebra Level 5

The minimum value of (x4+1)(y4+1)(z4+1)xy2z\dfrac{(x^4+1)(y^4+1)(z^4+1)}{xy^2z} as x,y,x,y, and zz range over the positive reals is equal to ABC,\dfrac{A\sqrt{B}}{C}, where AA and CC are coprime and BB is squarefree. What is A+B+C?A+B+C?

×

Problem Loading...

Note Loading...

Set Loading...