Meredith, I wish I could tell you how deep the roots are, but I'm not sure. Some were about 6 inches down, and others were further. Some I couldn't find. So, no telling how deep they are. And, it could be that different varieties have different roots, but I have no idea if that is true or not. I don't know which kind of raspberries I have, since they came with our house.
Good luck, and please let us all know if that barrier works, if you decide to get it!