# Easy Inequality

Algebra Level 3

If $$a + b = 1$$ . Then the minimum value of $$(a + \frac{1}{a} )^2 + (b + \frac{1}{b} )^2$$ is of the form "$$m/n$$" . Where $$m$$ and $$n$$ are coprime. Then the value of $$m+n$$?

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