Stake out is a phrase that is commonly used in the English language. It means to keep a watchful eye on someone or something. However, there are several other synonyms for this phrase that can be used in different contexts. One such synonym is surveillance, which refers to the systematic observation of a person, place, or object. Another synonym is reconnaissance, which involves gathering information about a particular area or location. Other synonyms for stake out include monitor, observe, shadow, and follow closely. All of these terms share a common theme of keeping a close eye on someone or something for a specific purpose.