Why doesn't it matter which nonradioactive isotope of oxygen you breathe?

Isotopes of an element have same atomic number (number of protons) but vary in the mass number (number of neutrons). The chemical reactivity of an element is not affected by the change in mass number. So, for stable isotopes of Oxygen, (Oxygen-16, Oxygen-17 and Oxygen-18) the biochemical pathway of oxygen breathed in during respiration remains unaffected even with different isotopes. Only the radioactive isotopes of oxygen when breathed in may cause serious health hazards as they emit radiations that may damage the internal organs in the body.

Because they all have the same chemical properties and can be used for breathing.

Explanation:

Conceptually, isotopes are atoms that have the same number of protons, that is, they are distinct species of the same element, differing only in the number of masses and neutrons.

Oxygen is a colorless, odorless and tasteless gas, poorly soluble in water, present in nature as three stable isotopes: oxygen 16 (present in 99.75% of occurrences in the environment); oxygen 17 (0.37% of occurrences) and oxygen 18 (0.20% of occurrences). All forms of non-radioactive isotope of oxygen can be breathed by living beings, because they all use the same kind of chemical properties, so all have the same function.