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How to impress a nerd girl
Your clothes :
Make sure to exercise good fashion sense. Wear clothes that fit well and don't look trashy or overly showy. Don't seem like you're doing all this for her, make it natural and normal.
Your integrity : Don't be so concerned with your image that you're putting up a front. Girls in general like a guy who'll look after himself, but not a guy who's convinced he has to be someone he's not in order to be likable.