Fixing headset? will this work?

I have a turtle beach earforce x 11 headset for xbox360. The wires were cut clean in half near the actual headset, so If i cant fix it they are junk. If I strip the wires a bit, and then find each individual wireset (there are 4 wires (each surrounded in copper) in the black coating) and sauter them together individually, will they work? or should I do something like splice each one with a dual connector? the problem with that is the bundle would be HUGE compared to normal, but if it works is that a possibility? Opinions please!