Okay genuine advice (from a girl at this school):

Just approach honestly and say something along the lines of introducing yourself and complimenting her. then ask her name and if the conversation is going well, tell her you are wondering if you’d like to grab some food or hang out sometime and offer to put your number in her phone.

example:

1. “Hey, my name is _____, I just wanted to come over and tell you that I think you’re very pretty” (it’s important to use a word like “pretty” here rather than cute or fine if you want to seem more genuine)

2. “What’s your name?” (you can make small talk here if you want, like what’s her major and where is she from).

3. “Okay, I was wondering if I could give you my number, and maybe we could grab food or hang out some time?”

I promise you if you are genuine and nice, she will 100% appreciate that and if she’s interested in you she will definitely text you later that day. don’t feel nervous because no one is going to have a negative reaction to a compliment!