A Controversial Question :P

Calculus Level 4

Tangent to the circle $$x^{2}+y^{2}=4$$ at any point on it in the first quadrant makes an intercepts $$OB$$ and $$OA$$ on the $$x$$ and $$y$$ axes respectively , $$O$$ being the centre of the circle.

Find the minimum value of $$OA$$ + $$OB$$ .

Since the answer is of the form $$a\sqrt{b}$$ , report the answer as $$a+b$$ .

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