# Tangent circles

Geometry Level 3

Two circles are tangent to each other, and their diameters $$d_1$$ and $$d_2$$ satisfy $$d_1 \times d_2=36$$.
Segment $$AB$$ is tangent to both circles. Find the length of $$AB$$.

If you think that the length of $$AB$$ depends on the relative values of $$d_1$$ and $$d_2$$, submit your answer as 9999.

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