Jeg er rigtig træt efter arbejdet.

Here rigtig means really or very. It is intensifying træt, so rigtig træt means really tired or very tired.

Be careful: rigtig can also mean correct or right in other sentences, for example det er rigtigt = that is correct. But in Jeg er rigtig træt, it is an intensifier.

Yes. Jeg er meget træt efter arbejdet is also correct.

The difference is mostly one of style and tone:

• rigtig træt often sounds a bit more natural and conversational in everyday speech
• meget træt is also common, but can sound slightly more neutral or straightforward

So both work, but rigtig træt is very idiomatic in spoken Danish.

Because er means am/is/are, and træt is describing the subject jeg.

This is the same pattern as in English:

• I am tired
• Jeg er træt

After verbs like være (to be), Danish often uses an adjective to describe the subject:

• Jeg er glad = I am happy
• Hun er syg = She is ill
• Vi er trætte = We are tired

So træt is not an object here. It is a predicate adjective describing jeg.

In this sentence, træt is the singular form used with jeg.

Danish adjectives can change form, but not always in the way an English speaker expects. With træt, the singular form is simply træt:

• Jeg er træt = I am tired
• Han er træt = He is tired
• Hun er træt = She is tired

In the plural, you usually get:

• Vi er trætte = We are tired

So the lack of an extra ending here is normal.

Because arbejdet is the definite form of arbejde.

• arbejde = work / a job / work in general
• arbejdet = the work

Danish often adds the definite article to the end of the noun instead of using a separate word like English the.

So:

• et arbejde = a piece of work / a job
• arbejdet = the work

In this sentence, efter arbejdet naturally means after work or after the workday.

Because Danish usually marks definiteness with an ending on the noun.

English:

• the work

Danish:

• arbejdet

That -et at the end is the definite article for a neuter noun like arbejde.

This is a very common Danish pattern:

• et hus = a house
• huset = the house
• et arbejde = a job / a piece of work
• arbejdet = the work

Yes, literally it is after the work, but in natural English it is often translated as after work.

This is one of those places where Danish and English package the idea differently. Danish often uses the definite form in expressions where English may not use the:

• efter arbejdet = after work
• literally: after the work

So you should understand the Danish form as natural, not as something overly literal or strange.

You usually put ikke after the finite verb in a main clause:

• Jeg er ikke træt efter arbejdet. = I am not tired after work.

If you want not really tired, you can say:

• Jeg er ikke rigtig træt efter arbejdet.

That means I’m not really tired after work.

So the basic placement is:

• Jeg er ikke ...

In a yes/no question, Danish usually puts the finite verb first:

• Er jeg rigtig træt efter arbejdet? = Am I really tired after work?

More naturally, if you are asking another person, you would change the pronoun:

• Er du rigtig træt efter arbejdet? = Are you really tired after work?

This verb-first pattern is very common in Danish questions.

Usually træt means tired, and it can cover physical tiredness, mental tiredness, or general fatigue.

Depending on context, it can sometimes overlap with sleepy, but if you specifically want sleepy, Danish often uses søvnig.

So:

• Jeg er træt = I am tired
• Jeg er søvnig = I am sleepy

In your sentence, træt most naturally means tired.

The sentence is built like this:

• Jeg = subject
• er = verb
• rigtig = adverb modifying træt
• træt = adjective describing the subject
• efter arbejdet = prepositional phrase

So the structure is:

Subject + verb + adverb + adjective + prepositional phrase

That is why the sentence feels quite close to English:

• I am really tired after work
• Jeg er rigtig træt efter arbejdet