geuphage jibeseo naodaga gabangeul tteoreotteuryeosseoyo.

급하게 is the adverb form, so it describes how the action happened: hurriedly / in a rush.

• 급한 = an adjective form used before a noun
  
  • 급한 일 = an urgent matter
• 급하게 = an adverb
  
  • 급하게 나오다 = to come out hurriedly

So in this sentence, 급하게 modifies 나오다가.

Here, 집에서 means from the house / out of the house.

With movement verbs like 나오다 and 내리다, 에서 can mark the place you are coming out of or starting from.

• 집에서 나오다 = to come out of the house
• 차에서 내리다 = to get out of the car

So 에서 is not always just at or in. It can also show the point of departure with some verbs.

Both relate to going out, but the difference is often about perspective.

• 나오다 = to come out
• 나가다 = to go out

Korean often chooses the verb based on the speaker’s point of view, not always in exactly the same way English does.

In 집에서 나오다가, the idea is while coming out of the house or more naturally in English, while leaving the house.

In everyday speech, 집에서 나오다 is very common and natural.

-다가 means something like:

• while doing
• in the middle of doing
• and then
• but then something happened

It connects two actions and usually suggests that the second action happened during the first one or interrupted it.

So:

• 집에서 나오다가 가방을 떨어뜨렸어요 = While I was coming out of the house, I dropped my bag = I was leaving the house and dropped my bag

This gives a sense that the first action was in progress when the second event happened.

Usually, yes. In most basic examples, -다가 connects actions done by the same subject.

Here, the understood subject is the same person for both verbs:

• (I) was coming out of the house
• (I) dropped my bag

That is the most natural reading.

가방 is the direct object of 떨어뜨리다.

• 가방을 떨어뜨리다 = to drop a bag

The particle 을/를 marks what the action is done to.

So:

• 가방이 떨어졌어요 = the bag fell
• 가방을 떨어뜨렸어요 = I dropped the bag

That difference is important.

This is a very common learner question.

• 떨어지다 = to fall
  
  • intransitive
  • the thing falls by itself
• 떨어뜨리다 = to drop / to let fall
  
  • transitive
  • someone causes it to fall

Examples:

• 가방이 떨어졌어요. = The bag fell.
• 가방을 떨어뜨렸어요. = I dropped the bag.

So in your sentence, the speaker is the one who caused the bag to fall, even if it was accidental.

Yes, very often it does.

떨어뜨리다 commonly describes accidentally dropping something. It can simply mean to drop, and in many real-life situations that naturally sounds accidental unless context says otherwise.

So this sentence gives the feeling that the speaker was rushing and accidentally dropped the bag.

It comes from the dictionary form 떨어뜨리다.

Breakdown:

• 떨어뜨리다 = to drop
• past tense: 떨어뜨렸어요
• polite style: -어요

So 떨어뜨렸어요 means dropped in polite past form.

You do not need to memorize every sound change separately at first; it is enough to recognize:

• dictionary form: 떨어뜨리다
• polite past: 떨어뜨렸어요

Korean often omits the subject when it is already clear from context.

So even though English usually needs I, Korean does not have to say it.

This sentence naturally implies something like:

• (제가) 급하게 집에서 나오다가 가방을 떨어뜨렸어요.

Leaving out the subject makes the sentence sound very natural and normal.

Yes. 급히 and 급하게 can both mean hurriedly / in a hurry.

• 급히 집에서 나오다가...
• 급하게 집에서 나오다가...

Both are possible.
However, 급하게 often feels a bit more common and conversational in everyday speech.

Yes, 집을 나오다가 is also possible.

Both can be used with 나오다, but they highlight things slightly differently:

• 집에서 나오다 = to come out from the house
• 집을 나오다 = to leave the house

In many everyday situations, both are natural.
For learners, the important point is that Korean allows both patterns with some movement verbs.

Grammatically, 나오다 is literally closer to come out, so 나오다가 is literally while coming out.

But in natural English, the best translation here is often:

• while leaving the house
• as I was going out of the house

So the most natural English wording may be different from the most literal Korean wording. That is completely normal.

It sounds like a small everyday mishap caused by being in a hurry.

The flow is:

1. 급하게 = the speaker was rushing
2. 집에서 나오다가 = they were in the middle of leaving the house
3. 가방을 떨어뜨렸어요 = they dropped their bag

So the sentence does not just state two actions. It suggests a natural cause-and-effect feeling: because I was rushing while leaving the house, I ended up dropping my bag.