Final answer:
The energy required to ionize the system from n = 8 to n = infinity is 13.6 eV.
Step-by-step explanation:
The energy required to ionize the system, moving the electron to n = infinity, can be calculated using the formula AE = E₁ - Ef, where E₁ is the energy of the initial state (n = 8) and Ef is the final energy at n = infinity. For hydrogen, the ionization energy is 13.6 eV. Therefore, the energy required to ionize the system from n = 8 to n = infinity will also be 13.6 eV.