Take

Take off — This phrase can mean to remove clothing, or to leave for a journey (i.e. planes take off when they begin their flights).

“She was very happy when she finally got home and took off her shoes. They had been hurting her feet all day!”

Take out — To remove something, like from a pocket or a bag. This phrase can also mean to take someone on a date. (Can be separated by the item or person being taken out.) The phrase can also mean to remove someone, as in by killing them—but this is probably not something you would need to use in everyday conversation!

To remove something: “The children sat at their desks and took outtheir pens and paper.”

To take someone on a date: “He took her out to the most expensive restaurant in the city.”