
zuhause
at home
Indicates the place where someone lives; in one's own apartment or house.
Am Wochenende bleibe ich am liebsten einfach nur zuhause.
On weekends, I prefer to just stay at home.
at home
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at home
Indicates the place where someone lives; in one's own apartment or house.
Am Wochenende bleibe ich am liebsten einfach nur zuhause.
On weekends, I prefer to just stay at home.

at home in
To be very competent and familiar in a particular field or subject; to know one's way around very well.
In der Welt der klassischen Musik ist sie wirklich zuhause.
She is truly at home in the world of classical music.
The word 'zuhause' (at home) is a fixed combination of the preposition 'zu' and the noun 'Hause'. It is used as an adverb and describes a place. The spelling as one word, 'zuhause', is the common form today.
Nach einem langen Tag bin ich froh, wieder zuhause zu sein.
After a long day, I'm glad to be back home.
'Zuhause' (at home) is an adverb of place and answers the question 'Wo?' (Where?). It always describes a static place, meaning being in one's own apartment or house.
Wo bist du? – Ich bin schon zuhause.
Where are you? – I'm already at home.
A very common and important phrase is 'sich zuhause fühlen' (to feel at home). It means that you feel very comfortable and safe in a place, even if it is not your own home.
In ihrer neuen Wohnung hat sie sich sofort zuhause gefühlt.
She immediately felt at home in her new apartment.
In the figurative meaning, 'zuhause' (at home) is always used with the preposition 'in' and the dative. The fixed expression is 'in einem Thema zuhause sein' (to be at home in a subject), and it means that someone knows a lot about it.
Mein Professor ist in der Geschichte des Mittelalters wirklich zuhause.
My professor is truly at home in the history of the Middle Ages.
house
Haus is a specific residential building, while zuhause is an adverb referring to the place where someone lives. When talking about a building’s construction, size, or ownership, German uses Haus; when simply stating where someone lives or is located, it uses zuhause.

Mira ist jetzt am Stadtrand zuhause.
Mira is now at home on the outskirts of the city.
Mira besitzt jetzt ein kleines Haus am Stadtrand.
Mira now owns a small house on the outskirts of the city.