First step - Beat the kid! Just kidding.....
From what I have read I would suggest replacing the entire length of antenna. It is very possible that by just soldering the 2 pieces back together, you will have a negative impact in either range, accuracy or both. Make sure you replace the antenna with the same length as what you would normally have. Most receivers are tuned for a specific length.
If you do just solder the two together, make sure you are running a failsafe. Then, observe and report back what you did. I.E., what % tin and solder type did you use? What was your temp? method? etc.....
Good luck!
-Chris