Should I directly ask the girl I like out just to know what she'll say, if im not certain about this relationship going somewhere?

there's a girl i like in my cram school. I've been talking to her for about 4 to 6 months now. But she's very irregular. She rarely comes to classes which makes it hard for me keep a constant connection with her. Talking to her online isn't just the same thing, as i am more of an offline guy. It took me thinking of forever just to make this account.
Should i ask her out if i still doubt she already would have boyfriend, and might reject me, which im not particularly afraid of, i just dont want to shoot in the dark. She also lives in different city, and keeps going back to her home quite frequently. Her place and mine in this city are very close, so i drop her off in my ride often which is fun for both of us im sure. And im 70 percent sure she has given me signals thag she likes me, but its impossible to know her relationship status without asking her, and she is so irregular in classes, and hard to make plans with outside classes that im not sure of anything at this point. Im not a shy guy by the way, i have never dated before so this is my learning curve amd I've made couple of mistakes in these months which I've learnt from, however i like this girl so much that when i think im ready to move on from her, and i see her in class all of a sudden, my heart races like crazy, and i start getting a little nervous too which is unlike me. Im a very in control person. Any thoughts and opinions my my situation guys?
Updates
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So update guys : i did ask her coz everyone said the dame thing. I talked to her for hour and half online, then put the question nicely out. And she said no. She said she knew for a long time i had a thing for her. But I FEEL FUCKIN AWESOME! Now we are in good terms overall too at least thats what i think, and now this whole thing is off my shoulders. Its done, no more her stuck in my head, IM FREE... THANKS PEOPLE.
Should I directly ask the girl I like out just to know what she'll say, if im not certain about this relationship going somewhere?
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