A circle with radius 2 is centered at $(2,0)$. Another circle with radius 1 is centered at $(5,0)$. A line is tangent to both circles at points located in the first quadrant. The original answer is in the form k\sqrt{m}. Please find the value of k + m, where k and m are integers.

Let's think step by step and output the final answer within \boxed{}.
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