Answer:
A very high powered nuke.
Explanation:
The sheer force,as used in "Armageddon",will have to be more powerful than Tsar Bomba,the largest nuclear bomb to detonate in history.In order to make this bomb,you would need a lot of nuclear fission.This is a delicate process,so we must do it carefully,but not too slowly.Next:The detonation.It would either have to be rocket powered to the asteroid cluster,asteroid,etc,or it would have to be transported.Once near the target,it would have to be remote detonated from a far distance,because radiation travels FAST through space,therefore,if not a far enough distance away,you would melt into nothing,probably.Once detonated,there are multiple possibilities,the rock could split in half and go separate ways around the earth,reattach,and keep going.Or maybe the bomb would do nothing and just put another crater in the asteroid,and we all die.There are way more,but to the point,a nuclear bomb has a 50% chance of working,but its the best way.
