Rendering a BooleanSplit object

Is there a quick or easy way to render an object after a BooleanSplit command? Using the example in the help section, after splitting the object I have a surface, polysurface and an extrusion. How do I select and render the split object?

I suppose that your question implies that it is not working on your end. It’s hard to guess what’s going on on your side - post a file if possible.

In absence of that, some general things:
Normally you will end up with several objects that partially take up the same space. When you click on these, a popup will ask you which object to select. Move, hide, or delete those that you don’t need. When you put the viewport to a shaded or rendered mode, the objects will render. Or use the render command.