Here's a breakdown of why there isn't one clear root word:
* It's a complex social issue: Homelessness is a multifaceted problem with many contributing factors. It's not simply the absence of a physical dwelling but also involves social, economic, and often psychological issues.
* Language evolves: While the term "homeless" is widely used, it's a relatively recent invention. Historically, there were different ways to describe people without homes, and those terms might have had different root words.
Instead of seeking a single root word, it's more important to understand the complexities of homelessness and the diverse experiences of people who face this challenge.