
rausholen
to take out
To remove something from a container, a place, or an enclosure and bring it outside.
Kannst du bitte die Milch aus dem Kühlschrank rausholen?
Can you please take the milk out of the fridge?
to take out / get out
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to take out
To remove something from a container, a place, or an enclosure and bring it outside.
Kannst du bitte die Milch aus dem Kühlschrank rausholen?
Can you please take the milk out of the fridge?

to get out
To achieve the best possible result or maximum performance from a person, thing, or situation.
Der Trainer hat im letzten Spiel alles aus der Mannschaft rausgeholt.
The coach got everything out of the team in the last game.

to get out
To free or rescue someone from a difficult or dangerous situation.
Die Feuerwehr musste den Fahrer aus dem brennenden Auto rausholen.
The fire department had to get the driver out of the burning car.
'Rausholen' (to take out / get out) is a separable verb. The prefix 'raus-' comes at the end in main clauses, while in subordinate clauses and in the infinitive with 'zu', it remains attached to the verb.
Er holt ein Buch aus dem Regal raus.
He takes a book out of the shelf.
The prefix 'raus-' is the colloquial and commonly used short form of 'heraus-' (out). In spoken German, 'rausholen' (to take out / get out) is much more common than 'herausholen' (to take out / get out).
Holst du bitte den Müll raus?
Will you please take out the trash?
The preposition 'aus' (out of / from) helps distinguish the meanings. 'Aus dem Kühlschrank' (out of the fridge) is literal, 'aus der Mannschaft' (out of the team) refers to performance, and 'aus dem Feuer' (out of the fire) refers to a rescue.
Er holt das Beste aus sich raus.
He gets the best out of himself.
In the literal meaning, the verb often follows this pattern: 'jemand holt [Akkusativobjekt] aus [Dativobjekt] raus' (someone takes [accusative object] out of [dative object]).
Ich habe die alten Fotos aus der Kiste rausgeholt.
I took the old photos out of the box.
to save / rescue
For a person in a dangerous situation, both words can express the act of helping. „Rausholen“ highlights the concrete movement out of the situation, while „retten“ refers more generally to protecting someone from the danger. „Rausholen“ fits when getting outside is important; „retten“ usually fits the result.

Die Feuerwehr holte das Kind aus dem verrauchten Zimmer raus.
The firefighters got the child out of the smoke-filled room.
Die Feuerwehr rettete das Kind aus dem verrauchten Zimmer.
The firefighters rescued the child from the smoke-filled room.