Deep rooted means something that is firmly established or ingrained, often into the history, culture, or beliefs of a particular group or society. Synonyms for this phrase include deeply ingrained, firmly implanted, long-established, deeply seated, deeply rooted, entrenched, embedded, and established. These words describe something that is difficult to change, remove or eradicate. They are often used to describe ideas, values, and habits that are passed down from generation to generation. Whether referring to deep-rooted traditions, beliefs, or values, these synonyms help to convey a sense of historical significance and cultural heritage that are deeply embedded in a particular community or society.