I found my teacher's profile on a social media. I like her. Should I send the request?

You absolutely can! Although it's important to know that she may not accept it. This doesn't mean that it's anything to do with you - it's just that some teachers (and other professionals) often need to have strict boundaries in place to seperate their 'work life' vs their 'personal life'.

I wouldn't recommend this. Most likely, she'll decline in accordance with school/state policy with staff to student social media.

If you are currently taking her class, or might take one of her classes in the future, it may be wise to avoid adding her on social media. This allows her to maintain a personal/professional boundary. It also prevents conflict of interest from popping up. Once you are finished with her class and have determined you will not be taking a class of hers in the future, you may decide to send a request on social media. Of course, from there it is up to her whether or not she would like to add you, but by then any professional issues should be resolved.

I think that is innapropriate ... Except if this is a account for the school then i dont see really the problem. Remember, You have to keep the relation that you have with her Professional. She could've get into some serious problem with that. I know it'S not what you really excepted to receive like answer but it's the reality. I mean, it could go wrong if you Add her. Maybe if she has an account for school then add her, but i think you should ask her in person if you could add her for help at school outside the hours