Billedet er ægte.

Because Danish often adds the definite article to the end of the noun.

• et billede = a picture / an image
• billedet = the picture / the image

This is very common in Danish. Instead of putting a separate word like the in front, Danish usually attaches definiteness to the noun itself.

Since billede is a neuter noun (it takes et), the definite ending is -et:

• et hus → huset
• et billede → billedet

Er is the present tense of at være, which means to be.

So:

• jeg er = I am
• du er = you are
• han/hun er = he/she is
• billedet er = the picture is

Danish uses er in the same kind of way English uses is / am / are in the present tense, though Danish does not change it as much by person.

Here ægte means real, genuine, authentic.

So in this sentence, it means the picture is not fake or false.

A useful nuance:

• ægte often means genuine / authentic
• depending on context, English may translate it as real, genuine, or authentic

For example:

• ægte guld = real/genuine gold
• en ægte ven = a true/genuine friend

So in Billedet er ægte, ægte describes the picture as authentic.

Because after er in a sentence like this, Danish often uses the adjective in its basic form when it describes something.

This is called a predicative adjective: the adjective comes after a verb like er and describes the subject.

Compare:

• et ægte billede = a real picture
  Here the adjective is placed before the noun.
• Billedet er ægte = The picture is real
  Here the adjective comes after er.

In both cases, ægte stays the same.

It can mean several related things, depending on context.

Billede can mean:

• picture
• image
• photo in some contexts
• sometimes even representation

So Billedet er ægte could mean:

• the picture is real
• the image is authentic
• the photo is genuine

The exact English word depends on the situation.

A rough guide for English speakers is:

• Billedet ≈ BIL-uh-dheth or BIL-eh-theth
• er ≈ a short air / ehr
• ægte ≈ something like EK-duh with a very Danish vowel at the start

A few pronunciation notes:

• ll in billede does not sound exactly like clear English l in all accents
• the d in Danish is often softer than English d
• æ is a front vowel, somewhat like the e in bed, but not exactly
• final -e is often a light, unstressed sound

If you want a simple approximation, you could start with: BIL-eh-deth air EK-duh

It will not be perfect, but it is a reasonable first step.

Yes, in this simple sentence it is.

• Billedet = subject
• er = verb
• ægte = adjective complement

So the pattern is:

Subject + verb + adjective

That matches English:

• The picture is real.

This sentence is a straightforward example of normal Danish main-clause word order.

Yes, but it does not mean exactly the same thing in emphasis.

• Billedet er ægte = The picture is real / authentic
  This focuses on the picture and tells you something about it.
• Det er et ægte billede = It is a real picture
  This presents it more as identifying or classifying something.

Both are grammatical, but the original sentence is more directly about a specific picture already known in the conversation.

Related forms can, but not this exact sentence.

You may see:

• ægtefælle = spouse
• ægtepar = married couple

But ægte by itself usually means genuine / real / true.

So in Billedet er ægte, there is no idea of marriage. It only means the picture is genuine or authentic.

No. In Danish, nouns are not automatically capitalized.

Billedet is capitalized here only because it is the first word of the sentence.

So:

• Billedet er ægte.
• Jeg kan lide billedet.

In the second sentence, billedet is not capitalized because it is not at the beginning.