"Radicate" is a unique word that refers to the act of establishing or rooting deeply. However, synonyms for this term can expand our vocabulary and enhance our writing. One alternative could be "rooted", which signifies being firmly fixed or deeply established. Another synonym is "establish", conveying the action of instituting or founding something securely. Additionally, "entrenched" can be used as a synonym, representing an idea or a belief firmly established and difficult to change. Lastly, "ingrained" also portrays the idea of deeply implanted or deeply rooted. These synonyms for "radicate" offer various alternatives, enriching our language and providing us with more precise expressions.