The ~ㄹ form of a verb as in 할 is very similar to TO + INFINITIVE in English. It means something expected or bound to happen, or the future. - I have no place to go: 나는 갈 곳이 없다. - To live or to die, that is the question: 살 것인가 죽을 것인가, 그것이 문제로다. - A big problem to sleep on: 시간을 두고 생각해야 할(생각할) 큰 문제. "수" means "way", "method", or "possibility". So 할 수 있다 means "It is possible to do it" or "I am able to [can] do it" (again 할 = to do). Similarly: - 갈 수 없는 고향: The home I am unable to return to. - 잊을 수 없는 얼굴: A face I cannot forget. - 할 수 있는 말과 할 수 없는 말: what you can say and what you can't. - 당신을 사랑하지 않을 수 없소: Can't help falling in love with you. "할 수 있다" is also widely used in the extended sense of "we can[might] say ...", coming after "~다고 / ~라고" (that ...). - 이것이 문제의 핵심이라고 할 수 있다: We can say that this the crux of the matter. - 이 사업은 실패라고 할 수밖에 없다: We can't help but call this project a failure.

할 Right! structure to say when one can do something : 나는 한국어를 할 수 있다. also It can be show another meaning or Grammar For example : 나는 샤워를 할 것이다. ( I am going to shower ) no long time, You will be something soon !! ^^ and 하다 basic V and when you ask something to someone ,you can say !! 할 수 있어요?

Hey Damon, Yes, 하다 + ㄹ 수 있다 = "can do" it conjugates together. In Korean, there are many, many suffixes (those things that attach to the base/ root of a word). Try not to think of ㄹ 수 있다/ 없다 = strictly as being able/ can do/ can't do something. Because it really is just a suffix (like English ('s), (~ed past tense) etc. It doesn't actually have a meaning without being connected to do something, when it is connected to (in this case) a verb, it 'conveys' a meaning, rather than being the meaninn itself. Without 하다, ㄹ 수 있다 is nothing. Think of it more like 'can' and 'cannot'. 보기: 먹다 + ㄹ 수 있다 = To eat + Can = 먹을 수 있다 = (I) Can eat (sth). 취하다 + 어/아/해 서(because) + 운전하다 + ㄹ 수 없다 = To drive + cannot = 취해서 운전할 수 없다 = (I) cannot drive (now), because i'm drunk I hope this helps, if not, please tell me how i can help further :)

Thanks :)

Correct 하다 is conjugated to 할 수 있다. 하다 = to do, so if you want to ask someone if they can do something then 할 수 있어요 should be used