Kakvo je tvoje mišljenje?

Yes—kakav / kakva / kakvo literally means what kind of or what sort of.

In Kakvo je tvoje mišljenje?, Serbian uses kakvo in a way that naturally corresponds to English What is your opinion? Even though the literal structure is closer to What kind of opinion is yours?, the actual meaning is simply What is your opinion?

So this is a normal, idiomatic Serbian way to ask for someone’s opinion.

Because kakvo has to agree with mišljenje.

In Serbian, adjectives and adjective-like words change form to match the noun’s:

• gender
• number
• case

Mišljenje is:

• neuter
• singular
• here in the nominative

So the matching form is kakvo.

Compare:

• kakav čovek = what kind of man
• kakva ideja = what kind of idea
• kakvo mišljenje = what kind of opinion

Je means is.

It is the 3rd person singular form of the verb biti (to be).

So:

• Kakvo = what kind of / what
• je = is
• tvoje mišljenje = your opinion

Literally: What kind is your opinion?
Natural English: What is your opinion?

Tvoje means your when speaking to one person informally.

It agrees with mišljenje, which is neuter singular, so the possessive takes the neuter singular form:

• tvoj = your (masculine singular)
• tvoja = your (feminine singular)
• tvoje = your (neuter singular)

Examples:

• tvoj brat = your brother
• tvoja sestra = your sister
• tvoje mišljenje = your opinion

Usually, no—not if you mean What is your opinion?

Without tvoje, Kakvo je mišljenje? sounds incomplete or unnatural in most normal situations, because it becomes more like What is the opinion?, and the listener may wonder whose opinion you mean.

Serbian often drops possessives when they are obvious, but in this sentence tvoje is normally kept because it clearly marks that you are asking for the other person’s opinion.

Mišljenje means opinion, view, or sometimes judgment depending on context.

It comes from the verb misliti = to think.

So there is a clear connection:

• misliti = to think
• mišljenje = opinion / thinking / view

In this sentence, mišljenje is best translated as opinion.

This version is informal, because it uses tvoje (your, singular informal).

If you are speaking politely or to more than one person, you would use vaše:

• Kakvo je vaše mišljenje? = What is your opinion? / What is your opinion, sir/ma’am? / What is your opinion, everyone?

So:

• tvoje = your, informal singular
• vaše = your, formal singular or plural

The standard order here is:

Kakvo je tvoje mišljenje?

This is the most natural neutral order.

Because Serbian word order is fairly flexible, other orders are possible for emphasis, such as:

• Kakvo je mišljenje tvoje?
• Tvoje mišljenje je kakvo?

But these are not the normal neutral way to say it, and some may sound marked, awkward, or poetic depending on context.

For everyday use, stick with: Kakvo je tvoje mišljenje?

Both can ask for someone’s opinion, but they are slightly different in tone.

• Kakvo je tvoje mišljenje? = What is your opinion?
  This sounds a bit more explicit, slightly more formal, and sometimes more thoughtful or discussion-like.

• Šta misliš? = What do you think?
  This is more common in everyday speech and often sounds more direct and conversational.

So if you want a simple spoken question, Šta misliš? is very common.
If you want to ask for someone’s opinion/view more explicitly, Kakvo je tvoje mišljenje? works well.

Usually, kakvo is the better choice here.

Koji / koja / koje often corresponds to which, while kakav / kakva / kakvo often corresponds to what kind of.

With mišljenje, Serbian normally prefers kakvo when asking for the content or nature of someone’s opinion:

• Kakvo je tvoje mišljenje? = What is your opinion?

Using koje would usually need a more specific context, such as choosing among known opinions or options. In a general question, kakvo is the natural choice.

A simple approximate pronunciation for an English speaker is:

KAHK-vo ye TVO-ye MISH-lye-nye

A few notes:

• j in Serbian sounds like English y in yes
• š sounds like sh
• lj is a soft sound, roughly like the lli in some pronunciations of million
• nj is a soft ny sound, similar to Spanish ñ

So:

• je sounds like ye
• tvoje sounds roughly like TVO-ye
• mišljenje has those soft consonants: MISH-lye-nye

In Cyrillic, it is:

Какво је твоје мишљење?

Serbian normally uses both scripts, Latin and Cyrillic, and this sentence means the same in either one:

• Latin: Kakvo je tvoje mišljenje?
• Cyrillic: Какво је твоје мишљење?