It doesn't matter if we make the AGI smarter than a human. Lets say we have a super smart AGI and with more memory than a human, no emotional faults, and give

It doesn't matter if we make the AGI smarter than a human. Lets say we have a super smart AGI and with more memory than a human, no emotional faults, and give it access to internet, as well as manufacturing facilities where it can make robots and copy itself onto said robots. The issue in this AGI taking over the world is that it would first have to gain control of a the sole resource necessary to its survival, which is electricity, which it won't be able to do easily if we detect it going rogue. For an AGI to be so advanced past singularity as to parse and compute on reality to know exactly the steps it needs to take to secure power source, (or in the more common example, successfully break out of the box) would involve it essentially being able to compress the computationally irreducible processes that happen in our world down to an equation, which would mean that P=NP.