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.