Отдых должен быть долгим и спокойным.

Breakdown of Отдых должен быть долгим и спокойным.

и
and
быть
to be
долгий
long (of time)
должен
must, have to
спокойный
calm
отдых
rest, holiday

Questions & Answers about Отдых должен быть долгим и спокойным.

Why are the adjectives долгим and спокойным in the Instrumental case?
Because they follow the infinitive быть (to be). In Russian, when an adjective or noun describes a state that follows the infinitive быть, it usually takes the Instrumental case. This is a very common pattern when talking about what something will be, used to be, or (as in this sentence) should be.
Could we use надо or нужно instead of должен to say 'must' or 'should' here?
It would sound a bit unnatural. Должен is a short-form adjective that acts directly on the subject (отдых). Надо and нужно are impersonal words that would force the subject into the Dative case (отдыху нужно быть...). When a specific noun has a direct obligation or strong expectation placed on it, должен is the best choice.
Why do we use the specific form должен instead of должно?
Because должен behaves like an adjective and must agree with the gender and number of the noun it modifies. Отдых is a masculine noun, so it takes the masculine singular form должен. If the subject were feminine (like пауза), it would be должна, and for plural subjects (like каникулы), it would be должны.
Since this lesson covers negative obligations, what happens if we negate this sentence by saying не должен?
If you say Отдых не должен быть долгим, it strongly means 'Rest must not be long'—it acts as a strict rule or prohibition. If you simply want to express a lack of obligation ('Rest doesn't have to be long'), you would avoid должен entirely and use the impersonal structures from this lesson, such as не нужно or не обязательно.

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