Repairs arising from normal wear and tear are the responsibility of the landlord. Hair in the drain is probably normal wear and tear.
I agree with my colleagues. Since I pay for my own plumbing repairs, I use strainers in drains where appropriate to prevent the problem. Such clogs are easily rooted out with a small hand held devise you can purchase at any hardware store. If it is a frequent problem, you may wish to invest in such a devise for future occurrences. Good luck.
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