In the world of dreams the rules of reality do not necessarily apply. Each dream is unique and it's a direct link to the soul and spirit. Psychology provides its own theories on what dreams mean, but so did tradition and the study of dreams for thousands of years before any relevant science had developed.
Dream Meanings - Carrots
To dream you are eating carrots means a healthy, successful life. If you simply see carrots then you will have success at work after making an effort.