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Questions & Answers about У неё красивый нос.
Why is it неё instead of её?
When third-person pronouns (like она, meaning she) come directly after a preposition (like у), an extra н is added to the beginning. Since the preposition у requires the genitive case, её becomes неё.
Why isn't the word есть used here for "has"?
You usually use есть when you want to state the existence of something someone possesses, like У неё есть машина (She has a car). However, when you are describing a physical feature we already know exists—everyone has a nose—you drop есть. The focus is on the fact that her nose is beautiful, not the fact that she possesses a nose.
What case is красивый нос in?
It is in the nominative case, which is the basic dictionary form. In the Russian "to have" construction, the thing being possessed is actually the grammatical subject of the sentence. Literally, this sentence means "At her, a beautiful nose [is]". Since нос is a masculine noun, the adjective красивый takes the masculine nominative ending.