"Going under the knife" is a commonly used phrase to refer to a surgical operation. However, this term can be intimidating and frightening for some people. In order to avoid causing distress, there are several synonyms that can be used instead. For instance, one can use "undergo surgery" or "have an operation." Another alternative could be "have a procedure" or "receive treatment." If the surgery is elective, the phrase "have cosmetic or plastic surgery performed" can also substitute for "go under the knife." Whatever phrase is selected, it's important to communicate the procedure with clarity while being sensitive to people who may feel overwhelmed by medical procedures.