@futurebird There are definite advantages to putting radio telescopes on the far side of the Moon, where they would be shielded from interference by humanity's radio emissions. Or at least they will be up until lunar orbit is also full of communications satellites beaming signals at the surface.
For all other types of telescope L2 is generally a better location. Despite being further away it's easier and cheaper to send things there than the surface of the Moon, and the sensitive optics don't have to contend with huge monthly temperature variations, moonquakes, etc.
That said, if you're going to build a base on the Moon for other reasons then you might as well include a telescope. Both the Apollo program and the Chang'e lunar landers have deployed ultraviolet telescopes on the Moon.
https://aus.social/@spacelizard/113659866437035241
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