"Rootedly" is an adverb that is often used to describe a state or quality that is firmly established or deeply entrenched. Some synonyms for rootedly could include firmly, strongly, resolutely, steadfastly, tenaciously, unshakably, immovably, or unwaveringly. These words all connote a sense of stability and reliability, suggesting that a certain attitude, mindset, or belief is firmly held and unlikely to change. Other potential synonyms for rootedly might include deeply, intensely, or profoundly, which emphasize the depth and intensity of a particular emotion or feeling. Ultimately, the choice of synonym will depend on the specific context and tone of the writing or speech in question.