What is touted as the biggest benefit to nuclear energy? no greenhouse gas emissions easily accessible to people throughout the world prices controlled by an international commission few health risks associated with nuclear energy

Let us see all the arguments one by one.

1) It is true that nuclear energy involves no greenhouse gas emissions. In the current state of the environment and world politics (recent Paris agreement on carbon emissions) it is a very important asset. Nuclear energy is much more mass efficient too and the waste after its use will be much smaller in scale than greenhouse emissions. This is the correct answer.
2) It is not easily accessible, at least in its current state. It demands great technological advancements and even greater awareness of technology when one tries to avoid accidents. Only a handful of countries have the infrastructure to have nuclear plants and for the rest of the world it is only a remote reality.
3) The prices are not controlled by an international commission; even if it were so, it is not that big of an advantage, since other traditional means of energy could enter this state of being controlled too.
4) Sadly, the health risks associated with nuclear energy are huge. Radioactivity is very hard to contain or to dispose of it once it is in the wild and the consequences are harsh for the organisms; it affects our DNA and it leads to mutations and increased cancer rates.