My question is this. Why develop nuclear power if its possible to develop solar and wind power? Seems like a no brainer to me.

Beacuse the sun doesn't shine all the time, and the wind doesn't always blow. We have no method of storing electricity on the scale needed.

Therefore we still need the other power generation, that works on a still night. Various sorts of renewable power have their place, but they could only provide 100% of our needs if we reduced our power consuption drastically.

That answer your question?