rausnehmen
to take out
To remove something from a container, a place, or a larger whole.
Kannst du bitte die Milch aus dem Kühlschrank rausnehmen?
Can you please take the milk out of the fridge?

to take out / remove
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to take out
To remove something from a container, a place, or a larger whole.
Kannst du bitte die Milch aus dem Kühlschrank rausnehmen?
Can you please take the milk out of the fridge?

'Rausnehmen' (to take out/remove) is a separable verb. In a main clause, the prefix 'raus' goes at the end. In subordinate clauses and in the infinitive with 'zu', the verb stays together.
Er nimmt den Kuchen aus dem Ofen raus.
He takes the cake out of the oven.
The prefix 'raus-' is a common colloquial shortening of 'heraus-'. The verb 'herausnehmen' has the same meaning, but sounds more formal and is used more in written language.
Würden Sie bitte das Gepäck aus dem Fach herausnehmen?
Would you please remove the luggage from the compartment?
When the verb is used reflexively with 'sich', the meaning changes completely. It then no longer means removing an object, but refers to a person who takes a break or allows themselves to do something inappropriate.
Ich glaube, ich nehme mich für den Rest der Woche raus und kuriere meine Erkältung aus.
I think I'll step back for the rest of the week and recover from my cold.
In the meaning 'sich etwas anmaßen' (to presume/to take liberties), a dative construction is used: 'sich (dative) etwas (accusative) rausnehmen'. The person doing the action is in the dative.
Was nimmst du dir eigentlich raus, so mit mir zu sprechen?
Who do you think you are, speaking to me like that?
to remove
'entfernen' and 'rausnehmen' can both mean that something is taken away from a place or from a larger whole. 'entfernen' is more neutral and can also mean that something is removed or gotten rid of. 'rausnehmen' sounds more everyday and emphasizes taking something out of a container, text, plan, or list. In official or precise wording, 'entfernen' is often better. When cooking, packing, or editing a plan, 'rausnehmen' sounds very natural.

Beim Einkaufen nimmt das Kind die Milch wieder aus dem Wagen raus.
While shopping, the child takes the milk back out of the cart.
Du entfernst vor der Reise am besten die alten Apps vom Handy.
Before the trip, it's best to remove the old apps from your phone.