Step 1: Locate the source. Radioactivity (emission of \(\alpha\), \(\beta\) and \(\gamma\) radiation) occurs when an unstable atom rearranges to a more stable state. This process involves changes in the numbers of protons and neutrons, and \(\gamma\) rays come from de-excitation of energy levels of these nucleons.
Step 2: Why not the electrons. The atomic electrons occupy the outer region; their transitions give ordinary light and X-rays, not radioactive radiation. The high energies and the changes in nuclear composition seen in radioactivity can only originate in the dense central core.
Step 3: Answer. Radioactive radiations are emitted from the nucleus of the atom.
\[\boxed{\text{From the nucleus of the atom.}}\]