# What's There to Rationalize?

Algebra Level 3

$\dfrac{y}{x^{2}+1} + \dfrac{x}{y^{2}+1}$

If $$x= \sqrt{3} + \sqrt{2}$$ and $$y= \sqrt{3} - \sqrt{2}$$, then the expression above can be simplified to the form $$\dfrac { a \sqrt b}{b}$$ where $$a,b$$ are coprime positive integers with $$b$$ square-free.

What is the value of $$a+b$$?

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