In the Republic, what is the main question Socrates seeks to explore in books 2-10?

In books 2-10 of "The Republic," Socrates primarily investigates whether the just life is superior to the unjust life. This exploration involves a comprehensive analysis of justice itself and its implications for individuals and society as a whole. Socrates, engaging in dialogues with various interlocutors, lays out the idea that living justly leads not only to moral integrity but also to greater happiness and fulfillment.

This section of the work emphasizes that justice is not merely about external actions or social order, but deeply connected to the individual's own well-being and inner harmony. Socrates contrasts the life of the just individual with that of the unjust, arguing that while the unjust may experience temporary gains, the just ultimately achieves a more profound form of happiness and contentment. By examining myths, the nature of the soul, and various forms of governance, Socrates builds a case that the just life is intrinsically valuable and ultimately more desirable than the unjust life, showcasing a philosophical inquiry into the nature and consequences of justice.