if you have good old fashioned root rot it isn't that big of a deal. I mean, it will kill your plants, but it isnt hard to correct. You can try h202. If you use the weak kind from a drug store you can actually spray the roots directly. Spray them hard and try to remove all the dead roots. I am not gentle when I do this. Then run them under the tap and flush them as best you can. Make a fresh res and add some h202 to the water, keep the res temps under 68f and keep lots and lots of oxygen in the water. You should be able to recover.
Some people will tell you that h202 is bad for your plants and roots. If you want, you can use a sterilizing agent such as Dutch Master Root Zone. It's pretty cheap and a bottle lasts forever. I would clean the roots as I described before, and then run DM Zone at full strength for a few days. Then flush again. At this point you can drop down to the preventative amount of DM Zone and run it continuously.
Some people might suggest and enzyme product to proccess the dead roots. I would personally hold off on that.
If you have root rot...
Your PH should drop, sometimes a little, sometimes drastically
You should notice a smell ranging from musty gym socks to putrid death
You should notice real improvement from H2O2 or sterilizing agents
You should see real improvment from cold water temps and lots of bubbles
If none of these things help, then you have 'brown slime algae' and you will have to reevaluate your situation at that point.