Kan du hente mig? Ja, det kan jeg godt.

Because this is a yes/no question in Danish. In main-clause yes/no questions, the finite verb usually comes first.

• Statement: Du kan hente mig. = You can pick me up.
• Question: Kan du hente mig? = Can you pick me up?

This is similar to English verb-subject inversion in Can you... ?

Hente means to pick up, to fetch, or to go and get someone or something.

In Kan du hente mig?, it usually means:

• Can you pick me up?
• often in the sense of coming to get someone by car, from a station, from school, etc.

So hente is not just take in general; it usually implies going to where the person or thing is and bringing them back or away.

Because mig is the object form of the pronoun, like English me.

• jeg = I
• mig = me

Since hente is acting on the person being picked up, Danish uses the object form:

• Kan du hente mig? = Can you pick me up?

You would use jeg only as the subject:

• Jeg kan hente dig. = I can pick you up.

They switch roles between the question and the answer.

In Kan du hente mig?

• du = subject = the person being asked
• mig = object = the speaker

In Ja, det kan jeg godt.

• jeg = subject = the speaker
• the speaker is now answering: Yes, I can.

So the person who was mig in the first sentence becomes jeg in the reply.

All three are possible, but they sound a bit different.

• Ja. = Yes.
• Ja, jeg kan. = Yes, I can.
• Ja, det kan jeg godt. = Yes, I can / Yes, I certainly can / Yes, that I can do.

Det kan jeg godt is a very natural Danish way to answer. It sounds smooth and idiomatic in conversation.

The det does not always translate directly into English. It often works like a placeholder referring to the whole action or situation: that / it.

Here det refers to the action just mentioned: hente mig.

So the meaning is roughly:

• Yes, that I can do.
• Yes, I can do that.

Danish often uses det in replies like this, even where English might simply say I can.

Not really. In this sentence, godt does not mean well in the usual sense of doing something skillfully.

In det kan jeg godt, godt is a common adverb that softens or strengthens the reply and makes it sound natural. It often gives a sense like:

• certainly
• sure
• quite possibly
• fine
• yes, that’s no problem

So Ja, det kan jeg godt is not literally Yes, I can do that well. It is more like Yes, sure, I can do that.

Because Danish main clauses follow the verb-second rule.

That means the finite verb usually comes in the second position in a statement.

In det kan jeg godt:

1. det
2. kan
3. jeg
4. godt

So once det is placed first, kan must come next.

This is a very important Danish pattern:

• Jeg kan godt gøre det.
• Det kan jeg godt gøre.

In both cases, the finite verb kan stays in second position.

You could say Ja, jeg kan godt hente dig only if you mean Yes, I can pick you up, speaking to you.

But in reply to Kan du hente mig?, the correct full version would be:

• Ja, jeg kan godt hente dig if the other person had asked Kan du hente mig? and now you are addressing them as dig? Wait—no, that would change the meaning.

Let’s sort it out carefully:

If someone says:

• Kan du hente mig? = Can you pick me up?

Then the natural full reply from the other person is:

• Ja, jeg kan godt hente dig. = Yes, I can pick you up.

That is correct because from the speaker’s point of view in the answer, the other person is now dig.

So:

• question: mig = me
• answer: dig = you

And the shorter version is:

• Ja, det kan jeg godt.

In this kind of everyday sentence, kan often covers a mix of ability, possibility, and practical willingness.

So Kan du hente mig? can mean something like:

• Are you able to pick me up?
• Is it possible for you to pick me up?
• Would you be able to pick me up?

It is often more practical and polite than a strict question about physical ability.

Yes, and it means something slightly different.

• Kan du hente mig? = Can you pick me up? / Would you be able to pick me up?
• Vil du hente mig? = Will you pick me up? / Would you like to pick me up? / Are you willing to pick me up?

In real conversation, both can be used as requests, but:

• kan du... focuses more on possibility or whether it works
• vil du... focuses more on willingness

Yes. It is a complete and very natural answer.

Danish often leaves out repeated information when it is already clear from context. So instead of repeating hente dig, the speaker can simply say:

• Ja, det kan jeg godt.

This is normal and idiomatic, just like English often says:

• Yes, I can.

Yes. You can say:

• Ja, det kan jeg.

That is grammatically correct. But Ja, det kan jeg godt often sounds more natural and conversational.

Adding godt can make the answer sound a little smoother, friendlier, or less abrupt.

In everyday speech, you may hear reduced pronunciation, but the written sentence is already very normal.

Possible spoken-style impressions:

• Kan du hente mig?
• Ja, det kan jeg godt.

In fast speech, det kan jeg godt may sound a bit compressed, but learners should stick to the standard written form first.

So the sentence as given is already a good model for normal spoken Danish.

Yes, it is perfectly natural and polite in many contexts.

Kan du hente mig? is a straightforward everyday request. Depending on tone and situation, you might make it softer by adding something like:

• Kan du hente mig i morgen? = Can you pick me up tomorrow?
• Kan du måske hente mig? = Could you maybe pick me up?
• Kan du godt hente mig? = Can you pick me up? / Would that be possible?

But the basic sentence is already normal and polite enough in casual conversation.