Boken er verdt prisen.

Because boken is the definite form, meaning the book.

In Norwegian, the definite article is usually attached to the end of the noun instead of appearing as a separate word.

• bok = book
• boken = the book

So Boken er verdt prisen starts with the book, not just book.

For the same reason: prisen is the definite form, meaning the price.

• pris = price
• prisen = the price

So the sentence literally matches The book is worth the price.

Usually, not in a simple noun phrase like this. Norwegian often puts definiteness on the noun itself:

• bok = book
• boken = the book
• pris = price
• prisen = the price

However, when there is an adjective, Norwegian often uses both a separate determiner and the definite ending. For example:

• den dyre boken = the expensive book

That is often called double definiteness.

Verdt means worth.

In this sentence, it works as a predicative adjective after er:

• Boken = subject
• er = is
• verdt prisen = worth the price

A very useful pattern is:

• å være verdt noe = to be worth something

Examples:

• Det er verdt tiden = It is worth the time
• Filmen er verdt pengene = The movie is worth the money

Because Norwegian normally says verdt + noun phrase directly.

So:

• verdt prisen = worth the price

English learners sometimes expect something like worth for the price, but Norwegian does not use a preposition there.

More examples:

• Det er verdt innsatsen = It is worth the effort
• Hun er verdt ventetiden = She is worth the wait

It follows the normal Norwegian main-clause pattern:

subject + verb + complement

So:

• Boken = subject
• er = verb
• verdt prisen = complement

This is the standard word order for a simple statement.

If you turn it into a yes/no question, the verb comes first:

• Er boken verdt prisen? = Is the book worth the price?

Yes, in Bokmål you often can.

The noun bok is commonly treated as a feminine noun, but Bokmål also allows the common-gender form. So both of these can mean the book:

• boka
• boken

That means both of these are possible in Bokmål:

• Boka er verdt prisen
• Boken er verdt prisen

They mean the same thing.
By contrast, pris is normally not used this way; you would usually say prisen, not prisa.

Yes, it is natural and correct.

That said, in everyday speech, Norwegians might also say:

• Boken er verdt pengene = The book is worth the money
• Den boka er verdt det = That book is worth it

So Boken er verdt prisen is perfectly fine, but depending on context, another version may sound a little more conversational.

Yes. Pris can also mean prize or award in some contexts.

So prisen can mean:

• the price
• the prize

Usually, context makes the meaning clear. If the learner has already been shown the meaning price, then that is the intended reading here.

Many learners notice that verdt looks harder than it sounds.

In many varieties of Norwegian, the d is not pronounced clearly on its own, and the whole ending is compressed. It often sounds roughly like vært.

So although it is spelled verdt, the pronunciation is often much smoother than the spelling suggests.

This is one reason learners may find the word easier to understand in context than to pronounce from spelling alone.