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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