Should I add her on Facebook?

So there’s a woman at work who says hi to me every time she sees me. I didn’t really read too much into it because she seems pretty outgoing. Here recently though she has complimented my hair and has said things like you seem like a good person. It also seems she goes out of her way to greet me. I want to get to know her more but it’s hard to do because we work in different departments and I don’t want to bother her while she is working. Is it acceptable to send a friend request on Facebook?
Should I add her on Facebook?
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