First Girl Friend

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How do I walk up to the girl and say "would you like to go out with me"
Please talk back

Well for one, don't do that!!!
First things first, do you know her? How well? Do you talk to her much, or at all? Is she older/younger than you?
Simple questions that should affect your approach.
If you know her and you talk to her regularly, then just try to get into a conversation with her, alone would be preferable. If you're in school, catch her inbetween classes, this would be easier because if she says no, you can just say alright and make a run for it! If you hide in your locker for a day or two, she'll forget about it completely!

be calm and casual about ittalk to her and show some sort of interst in herthen you could say something like "hey what are you doing this friday night? wanna go xxx place with me?"if she says no, then play it cool and ask the next girl that you take a fancy to

After it's established she possibly interested and you've gone out to a few places already, then it's probably an okay time to pull the, "I love it when we blah blah blah. And remember that time we blah blah blah. So I've been thinking about us a lot and I wonder if we have something" deal.

if you dont know her very well..get to know her. If you do know her and you're friends then just talk to her.Ask her what she thinks about you, and if she gives you a good response(i think youre great, youre a great friend, i think youre really cool/nice..ect..)then go for it. Ask her if she would like to go somewhere with you. If she says no..then move on. If she says yes then go somewhere..If you cant think of anywhere to go then go to a movie. Flirt with her (touch her back every once in a while, maybe sort of hint at holding her hand..not throughout the whole date but for a few seconds at a time)..If the date goes good and she seems interested ask her if she wants to go out again. Go out with her somewhere else then just ask her out.(Would you want to go out with me?, What would you think about dating me?..) something like that.so really i guess my advice is BECOME FRIENDS FIRST

You know I did that to a girl and years later we got married. Sometimes if your heart feels right then it is. Go for it.