If the joints are smooth they are glued and you can't undo them...if they have what looks like a large nut at either end, then they can be undone.
Failing this go into a hardware store and ask for a spring to unblock waste pipes/sinks.
Should'nt be more than a fiver.
Just push the spring down the waste and force it round the u-bend...push it, in and pull it out, and wiggle it about if you want...they usually go with a bit of effort.
A sink plunger will also help...and when you think you have cleared it...put some sink or drain cleaner down the waste...