
ausgehen
to go out
To leave the house in order to have fun, for example to go to a restaurant, the cinema, or a party.
Lass uns am Freitagabend zusammen ausgehen und etwas essen.
Let's go out together on Friday evening and get something to eat.
to go out / run out / assume
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to go out
To leave the house in order to have fun, for example to go to a restaurant, the cinema, or a party.
Lass uns am Freitagabend zusammen ausgehen und etwas essen.
Let's go out together on Friday evening and get something to eat.

to assume
To use something as the basis for a thought or assumption; to be convinced of something.
Ich gehe davon aus, dass du mit dem Vorschlag einverstanden bist.
I assume that you agree with the proposal.

to run out
To come to an end; to be used up. Often refers to supplies.
Mist, die Milch ist uns ausgegangen, ich muss neue kaufen.
Damn, we've run out of milk; I have to buy more.

to turn out
To have a certain result or outcome.
Egal, wie die Wahl ausgeht, es wird Veränderungen geben.
No matter how the election turns out, there will be changes.

to go out
To stop burning or shining by itself. Refers to fires, candles, or lamps.
Während des Sturms ist plötzlich das Licht ausgegangen.
During the storm, the light suddenly went out.

to fall out
To lose hair; to fall out.
Seit ein paar Monaten gehen ihm die Haare aus.
His hair has been falling out for a few months.
'Ausgehen' (to go out / run out / assume) is a separable verb. The prefix 'aus' stands at the end in a main clause. In subordinate clauses and in the infinitive with 'zu', the verb is not separated.
Gehen wir heute Abend essen? Ich lade dich ein.
Are we going out to eat tonight? I'll treat you.
The perfect tense of 'ausgehen' (to go out / run out / assume) is formed with the auxiliary verb 'sein' in all meanings, because it describes movement or a change of state.
Gestern sind wir in eine neue Bar ausgegangen.
Yesterday we went out to a new bar.
You can often recognize the meaning from the subject. If the subject is people, it is about having fun. If it is supplies or light, it is about coming to an end. If it is an event (e.g., a game), it is about the result.
Meine Freunde sind gestern Abend ausgegangen.
My friends went out yesterday evening.
In the meaning 'annehmen' (to assume) or 'vermuten' (to suppose), 'ausgehen' is always used with the preposition 'von' and the dative. The expression 'davon ausgehen' (to assume that) is especially common.
Ich gehe davon aus, dass die Sitzung pünktlich beginnt.
I assume that the meeting will start on time.
When something is running low or runs out, the thing is the subject and the person is in the dative. A typical mistake is to use the person as the subject.
Mir ist auf halber Strecke das Benzin ausgegangen.
I ran out of gas halfway there.
In the meaning 'ein Ergebnis haben' (to have a result), 'ausgehen' is often combined with adverbs that evaluate the outcome. Typical ones are 'gut' (well), 'schlecht' (badly), 'glimpflich' (without serious consequences), or 'unentschieden' (in a draw).
Der Streit ist zum Glück glimpflich ausgegangen.
Fortunately, the argument turned out without serious consequences.
to end
Enden and ausgehen can both be used with a game or event that has a result. Enden mainly describes how the event concludes, while ausgehen focuses on the outcome reached. Use enden for the ending itself and ausgehen for how things turned out.

Das Spiel ging mit einem Unentschieden aus.
The game turned out to be a draw.
Das Spiel endete mit einem Unentschieden.
The game ended in a draw.