What are 3 examples of republicanism?

The ideology of republicanism values political liberty and individuality, separate powers of government, civic participation with an emphasis on self-discipline and a reliance on none other than the individual self. In the United States, examples of these values are evident in the political system. The government maintains three distinct branches with separate powers: the judicial, the executive and the legislative. An example of civic participation is voting for elected leaders.
Moreover, Americans have long been associated with a sense of rugged individualism that is valued highly in republicanism. Other examples of republicanism are evident in the US economic system. Free market economic ideologies are built upon the ideas of republicanism and the belief that the government should not be able to control market forces.

Well..there are many,many examples of Republicanismbut if you want only 3 then I suppose I should helpHere is the Seperate powers of government and political liberty.I apologize because I could only give you 2 examples but it was the best I could doHope this helps.

PS..I'm not 100% sure if these answers are correct.