Bleach can dissolve any fiber that has acidic properties. Next time you have a bathroom sink, shower, or bathtub draining slow try pouring a cup of liquid bleach into the drain. After about a half hour any hair the bleach is in contact with will dissolve. Bleach dissolves hair and it takes a bit of time.
Mix 1/2 cup table salt and 1/2 cup baking soda together, and pour down drain. Let sit for about 30 minutes (or overnight if it's a tough clog), and follow with a pot of boiling water.