Naše zubařka je velmi klidná a pracuje pomalu.

Naše agrees with zubařka, which is a feminine singular noun in the nominative case.

• náš = masculine singular
• naše = feminine singular or neuter plural/singular depending on context
• naší = usually a different case form, not nominative here

Since zubařka means a female dentist and it is the subject of the sentence, naše zubařka is the correct form.

Zubařka is the female dentist.
Zubař is the male dentist.

Czech often has separate masculine and feminine forms for professions:

• zubař = male dentist
• zubařka = female dentist

So this sentence specifically tells us the dentist is a woman.

Because klidná is an adjective describing zubařka, and it must agree with it in gender, number, and case.

Here:

• zubařka = feminine singular nominative
• so the adjective must also be feminine singular nominative
• therefore: klidná

Compare:

• klidný = masculine
• klidná = feminine
• klidné = neuter / some plural contexts

In this sentence, je is the present tense of být (to be) and it is normally needed.

• Naše zubařka je velmi klidná. = Our dentist is very calm.

Unlike Russian, for example, standard Czech usually does use the present-tense copula in sentences like this.

You may sometimes see omissions in headlines, notes, or very informal styles, but in normal standard Czech, je belongs here.

Velmi means very. It modifies the adjective klidná.

So:

• klidná = calm
• velmi klidná = very calm

It works much like English very before an adjective.

Other similar Czech words are:

• hodně = a lot / very much
• opravdu = really
• docela = quite / fairly

But velmi is a standard, neutral word for very.

Because pomalu is an adverb, while pomalá is an adjective.

• pomalá = slow (describing a feminine noun)
• pomalu = slowly (describing how someone works)

Here we are describing the manner of working, not the dentist herself directly in that part of the sentence.

So:

• Je klidná. = She is calm. → adjective
• Pracuje pomalu. = She works slowly. → adverb

This is the same basic distinction as slow vs slowly in English.

Pracuje is the 3rd person singular present tense of pracovat (to work).

That means it is used for:

• he works
• she works
• it works

In this sentence it refers to zubařka, so the meaning is she works.

Some forms of pracovat are:

• pracuji / pracuju = I work
• pracuješ = you work
• pracuje = he/she works
• pracujeme = we work
• pracujete = you plural / formal work
• pracují / pracujou = they work

Yes. Naše zubařka is the subject of the sentence, so it is in the nominative case.

You can see the structure like this:

• Naše zubařka = subject
• je velmi klidná = predicate with adjective
• a pracuje pomalu = second predicate joined by a

Because zubařka is nominative, the adjective klidná also appears in nominative feminine singular.

Because Czech often leaves out subject pronouns when they are clear from the verb form or context.

So instead of saying:

• Naše zubařka je velmi klidná a ona pracuje pomalu

Czech naturally says:

• Naše zubařka je velmi klidná a pracuje pomalu

The subject is already known: it is naše zubařka. Adding ona would usually sound unnecessary unless you want emphasis or contrast.

A means and.

It connects two things said about the same person:

• je velmi klidná = is very calm
• pracuje pomalu = works slowly

So the sentence gives two pieces of information about the dentist and joins them with a.

The given word order is the most neutral and natural one:

Naše zubařka je velmi klidná a pracuje pomalu.

Czech word order is more flexible than English, but changes often affect emphasis rather than basic meaning.

For example, you might also hear:

• Naše zubařka pracuje pomalu a je velmi klidná.

This is still grammatical, but the focus feels a little different because it mentions the working style first.

So the sentence order is not absolutely fixed, but the original version is a very normal default.

Zubařka is approximately pronounced zoo-barzh-ka, but ř is a special Czech sound with no exact English equivalent.

A few tips:

• zu sounds like zoo
• ba is straightforward
• ř is the hard part: it is something like a rolled or raised r mixed with a zh sound
• ka is simple

Learners usually need time with ř. It is completely normal not to master it right away. Even many advanced learners find it difficult.

Sometimes, but calm is usually better here.

Klidný / klidná can mean things like:

• calm
• peaceful
• quiet
• composed

When describing a person such as a dentist, calm or gentle in manner is often the best choice.
Quiet in English can suggest not speaking much, which is possible in some contexts, but it is not necessarily the main idea here.

So in this sentence, calm is probably the most natural interpretation.

None. Pomalu is an adverb, so it does not have case.

Cases apply to nouns, pronouns, adjectives, and some numerals, but not to adverbs.

That is why:

• klidná changes form to agree with zubařka
• pomalu stays the same, because it is an adverb meaning slowly

Yes. Naše means our, and it does not depend on whether the speaker is male or female.

It agrees with the thing possessed, not with the speaker.

So:

• náš dům = our house
• naše zubařka = our dentist
• naše auto = our car

The form changes because dům, zubařka, and auto have different genders, not because of who says the sentence.