I KNOW this situation seems like "oneitisis" and such but really no i am not obsessed with this girl but i would really like to give it a try and would be okay with moving on to another too, just i want to give this a try.

So i am 19 years old and studying abroad in university and from lets say country (X), for the past two weeks i noticed this one girl around uni who is also from my country and whenever i look at her she looks back and i dont know i just feel like i want to give this a try. She is always with a friend and i dont know her and she doesn't know me. We dont have any classes or anything in common. MY QUESTION IS, would it be okay or would it be the right thing to do that if i see her alone i just go up and talk to her and tell her i find her attractive and would like her number? or is this too fast and rash, any advice? how about if she's with a friend?

Or should i just add her on fb and if she accepts, send a msg and see how that goes?

sorry i am really inexperienced.