Kærligheden er vigtig.

Kærligheden is the definite form of kærlighed.

• kærlighed = love
• kærligheden = the love

In Danish, the definite article is often added as an ending:

• en bog = a book
• bogen = the book

So:

• en kærlighed = a love
• kærligheden = the love

Also, Danish often uses the definite form with abstract nouns in places where English might simply say love. So Kærligheden er vigtig can naturally mean Love is important, not only The love is important.

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
• vi er = we are

In this sentence:

• Kærligheden er vigtig = Love is important

Danish does not change the form of er depending on the subject, so it stays er for all persons.

The adjective vigtig changes form depending on what it describes.

Here it is describing kærligheden, and kærlighed is a common-gender singular noun (en-word), so the adjective is:

• vigtig

Compare:

• en vigtig bog = an important book
• et vigtigt emne = an important topic
• vigtige bøger = important books

The same pattern appears when the adjective comes after er:

• Bogen er vigtig = The book is important
• Emnet er vigtigt = The topic is important
• Bøgerne er vigtige = The books are important

So vigtig is correct because kærligheden is singular and common gender.

Kærlighed is a common-gender noun, also called an en-word.

That means:

• en kærlighed = a love
• kærligheden = the love

This matters because it affects adjective agreement:

• Kærligheden er vigtig is correct
• Kærligheden er vigtigt would be wrong

Yes, it can.

Danish kærligheden is literally the love, but in context it can also be used in a broader, more general sense, where English would often just say love.

So depending on context, it could mean:

• Love is important
  or
• The love is important

If there is no special context, many learners should understand it as a general statement: Love is important.

Usually, Kærligheden er vigtig sounds more natural for a general statement like this.

Kærlighed er vigtig is possible in some special styles, such as headlines, slogans, or poetic language, but it is less standard in ordinary everyday Danish.

So as a learner, the safest choice is:

• Kærligheden er vigtig

The word order is:

• Kærligheden = subject
• er = verb
• vigtig = adjective/complement

So it follows the basic pattern:

• subject + verb + complement

This is very similar to English:

• Love is important

In simple statements, Danish often looks quite familiar in this structure.

A rough English-friendly guide is:

• Kærligheden ≈ KAIR-li-heh-den
• er ≈ air or a very light uh/air sound, depending on accent
• vigtig ≈ VIG-ti

A few important notes:

• æ in kær- is a front vowel somewhat like the vowel in care for many English speakers, though not exactly the same.
• The g in -lig- is often softened or almost disappears in normal speech.
• Danish pronunciation is often less clear-cut than spelling suggests, so listening to native audio is very helpful.

A careful learner pronunciation might be something like:

• KAIR-li-heh-den air VIG-ti

That is a normal feature of Danish.

In English, you put the definite article before the noun:

• the love

In Danish, the definite article is usually added as a suffix:

• kærligheden

This is very common:

• bilen = the car
• huset = the house
• manden = the man

For common-gender nouns, the ending is often -en.
For neuter nouns, it is often -et.

Yes. Vigtig is still an adjective.

After er, Danish often uses an adjective to describe the subject:

• Hun er glad = She is happy
• Bogen er god = The book is good
• Kærligheden er vigtig = Love is important

So vigtig is an adjective functioning as a description of kærligheden.

No. Danish uses capitalization less than English.

In this sentence:

• Kærligheden is capitalized only because it is the first word in the sentence.
• vigtig is not capitalized.

Unlike German, Danish does not capitalize all nouns. Only sentence beginnings and proper nouns are normally capitalized.

Yes. It is related to kærlig, which means loving or affectionate.

So:

• kærlig = loving
• kærlighed = love

The ending -hed is a common Danish noun ending that often forms an abstract noun, a bit like -ness in English.

For example:

• fri = free
• frihed = freedom

So seeing -hed can help you recognize that a word is probably an abstract noun.