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How should I ask her out?

So this girl came back to work while on college break and I was wanting to ask her out at work but ended up only seeing her a handful of times throughout the week while there was at least 7 other people around. She is going back to college next week and my only way of asking is through Facebook. Is this going to come off as desperate? Also should I start small talk first or just come right out and ask it...shes never on the chat which is why I ask that. I don't want to sound like a loser...never asked a girl out on Facebook before and it feels kind lame...but I really like her.
How should I ask her out?
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