게 배우다

learn something in a given way

The -게 ending turns a describing word into a "how": 자연스럽게 배우다 "learn it naturally", 급하게 배우다 "learn it in a hurry", 빠르게 배우다 "pick it up fast". This is a plain combination rather than an idiom, and in these lines the slot is most often filled by 어떻게 "how" — three of the eight are someone asking 어떻게 배웠어? "how did you learn that?". Do not confuse it with 배워 보다, which is giving learning it a try.