To remove.
To escort someone on a date.
Let me take you out for dinner.
To immobilize with force; to subdue; to incapacitate.
To kill or destroy.
The soldiers were instructed to take out the enemy base by any means necessary.
To win a sporting event, competition, premiership, etc.
To obtain by application by a legal or other official process.
take out a loan; take out medical insurance; take out a membership; take out a patent