Just a tip: while asking a girl out (i should know im a girl lol) never lie about yourself to get her to like you, its just not worth lieing for, then if she ever finds out you lied about yourself, could she trust you? (personal experience)
Just walk up to her and complement her on something or just make a random observation. This will get her talking and once you have started a conversation, you can ask her out for coffee or dinner when she is free.
Girls admire confidence! So walk up to her, smile, introduce yourself, make some small talk, then ask her if she would like to go out sometime. If she starts making excuses about why she can't go, just smile and tell her to think about it and let you know. Then say to her" see ya later pretty lady", and walk away. Don't make it seem as though you are disparate, but make sure she knows you like her. The next move is hers
I agree with @trynottobebetter. hes got all the thins I would say. So how'd it go.. Two days later.. Asked her yet?
Hope this helps/ ed!!
P.S Even though you probably asked her, you should still use these answers in the future as well. (I'm not saying it won't work out for the two of you, 'cause I barely even know her and I;m not rude) Just saying.. LOL
Just find out what both of you would like to do together and then try to set up a date. Maybe a walk in the park would be a good starter rather than spending money on her right away if you don't know her too well or want to take it slow.