Should I send a friend request to my crush?

The guy I have a crush on goes to the same university as me. We are in the same Chemistry class and occasionally make eye contact with each other. Nothing flirty. I was interested when I first saw him. We never talked before and because of that I feel awkward sending him a request. I really do like him and based off his vibes he seem like a good guy. I feel like a creep because I just randomly looked him up on facebook. He know I exist so I wouldn't be blind siding him with this request. I know i may be over thinking this but just nervous. How should I message him? According to his relationship status on FB he is single.
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