State True/False:

Multiple tangents to the two circles can be only outer tangents to each other circles.

The statement is false.

Multiple tangents can be drawn to two circles, and these tangents can be inner or outer tangents to the circles.

In the case of outer tangents, the tangents are drawn outside both circles and do not intersect the space between the circles. In the case of inner tangents, the tangents are drawn inside both circles and do not intersect the space between the circles.

In addition, there can be common tangents, which are tangents that touch both circles at the same time. Therefore, the statement that "Multiple tangents to the two circles can be only outer tangents to each other circles" is false.