When a strong base undergoes protonation (gaining a hydrogen ion, H+), it forms its conjugate acid. Since strong bases completely dissociate in water, releasing hydroxide ions (OH-) into the solution, their conjugate acids have a limited ability to donate protons.
As a result, the conjugate acids of strong bases are weak acids. They partially dissociate in water, releasing a limited amount of H+ ions, resulting in a relatively low acidity. Conversely, the conjugate of a strong acid is a weak base.