There are many synonyms for the phrase "with shrewdness". Some of the most common include astutely, tactfully, cleverly, cunningly, and knowingly. Each of these words has its own connotations and nuances, but all of them suggest a certain level of intelligence and strategic thinking. When used to describe a person's actions or decisions, these terms imply that they are skillfully navigating a situation or relationship, often with a view towards achieving their own goals. Whether in business, politics, or personal relationships, the ability to act with shrewdness is a valuable asset that can help individuals achieve success and achieve their desired outcomes.