The best store bought drain cleaners that work to dissolve hair in a drain are Green Gobbler drain cleaner and Drano Max Gel clog remover.
Both of those Drain Cleaners have worked great for removing hair and other clogs from my drains.
You can also use a home remedy for dissolving hair in a drain by pouring some baking soda down the drain and then pour a cup of vinegar into the drain and cover the drain with the stopper to allow the Vinegar and Baking soda to work in the drain.
The baking soda and vinegar will fizz and work together and after 30 minutes to an hour the hair will be dissolved and then you can pour some boiling water down the drain to flush out the hair and baking soda and vinegar.
You can use the baking soda and vinegar drain cleaning method often to keep the drains clear and free of hair and other clogs.