There isn't a single root word for this term, as it is a complex noun. However, the root דאג (dag) is related to the concept of worry, anxiety, and concern, which are all aspects of caring.
Here's a breakdown:
* דאג (dag) - root meaning worry, anxiety, concern
* דאגה (da'aga) - noun form, meaning care, worry, concern
It's important to note that the Hebrew language, like many others, uses a system of root words and affixes to create different meanings. So, while "dag" is the core concept, it's not the sole word for "care."