Talentet hennes er tydelig.

Because talentet is the definite singular form of et talent.

• et talent = a talent
• talentet = the talent

In Norwegian, when a possessive comes after the noun, the noun is usually in the definite form:

• talentet hennes = her talent

So this pattern is very normal:

• boken min = my book
• huset vårt = our house
• talentet hennes = her talent

That is one of the standard ways to express possession in Norwegian.

Talentet hennes is the most natural, everyday way to say her talent.

Norwegian also allows:

• hennes talent

But that version is often more emphatic, more literary, or used when you want to stress whose talent it is.

A helpful comparison:

• talentet hennes = neutral, common
• hennes talent = more emphasis on her

Also notice the noun form changes:

• talentet hennes → definite noun + possessive after
• hennes talent → possessive before + usually no definite ending on the noun

Because sin/sitt/sine is a reflexive possessive. It is used when the possessor is the same as the subject of the clause.

In this sentence, the subject is already Talentet hennes, so hennes is the correct choice.

For example:

• Hun viser talentet sitt.
  = She shows her talent.
  Here sitt refers back to hun, the subject.

But in:

• Talentet hennes er tydelig.

you do not use sin/sitt, because the possessive is inside the subject phrase itself. So hennes is correct.

Er is the present tense of å være (to be).

So:

• er = is / are

In this sentence:

• Talentet hennes er tydelig
  literally follows the pattern Subject + is + adjective

Just like:

• Boken er interessant. = The book is interesting.
• Huset er stort. = The house is big.

It actually already has the correct form.

In Norwegian, adjectives often agree with the noun, but adjectives ending in -ig usually do not add -t in the neuter singular predicative form.

So you get:

• en tydelig stemme = a clear voice
• et tydelig tegn = a clear sign
• Tegnet er tydelig. = The sign is clear.

Since talent is a neuter noun (et talent), you might expect a special neuter form, but with tydelig, the form stays tydelig.

Compare with an adjective that does change:

• et stort talent
• Talentet hennes er stort

But:

• Talentet hennes er tydelig

The word order is very straightforward:

• Talentet hennes = subject
• er = verb
• tydelig = subject complement / adjective

So the pattern is:

Subject + verb + adjective

This is the normal word order in a simple statement in Norwegian.

Yes, absolutely.

Both are grammatically correct:

• Talentet hennes er tydelig
• Hennes talent er tydelig

The difference is mostly about style and emphasis:

• Talentet hennes er tydelig = more neutral and common in everyday Norwegian
• Hennes talent er tydelig = more emphasis on her

So if you are learning standard natural Bokmål, Talentet hennes er tydelig is a very useful pattern to remember.

Yes. The noun is:

• et talent
• talentet
• talenter
• talentene

So it is a neuter noun.

That matters because noun gender affects:

• the article: et
• the definite ending: -et
• adjective agreement in some cases

Not necessarily. Depending on context, tydelig can mean things like:

• clear
• obvious
• evident
• plain to see

So Talentet hennes er tydelig could suggest:

• her talent is obvious
• her talent is clear
• it is easy to see that she is talented

The exact English wording depends on context, but the Norwegian structure stays the same.