As I understand it, redirection is our best hope. Destruction via nukes would only work for comparatively small rocks. There is a fairly comprehensive write-up

As I understand it, redirection is our best hope. Destruction via nukes would only work for comparatively small rocks. There is a fairly comprehensive write-up of the various options on Wikipedia: https://en.wikipedia.org/wiki/Asteroid_impact_avoidance https://en.wikipedia.org/wiki/Asteroid_impact_avoidance