# [Brachylog], 14 bytes

    {⊇Ċz-ᵐ^₂ᵐ+√}ᶠ⌋

[Try it online!][TIO-khs4ga6z]

[Brachylog]: https://github.com/JCumin/Brachylog
[TIO-khs4ga6z]: https://tio.run/##SypKTM6ozMlPN/pfXa6koGunoFRu/6htw6Ompoe7Omsfbp3wv/pRV/uRripdIDsOJLx1gvajjlm1D7cteNTT/f9/dHS0gQ4QxupEG@oAIZA2AfKNYmNjAQ "Brachylog – Try It Online"

Boring and straightforward.

```
             ⌋    The output is the minimum of
{          }ᶠ     every possible
          √       square root of
         +        a sum of
      ^₂ᵐ         the squares of
    -ᵐ            the differences between
   z              the coordinates for each axis
 ⊇                for a sublist of the input
  Ċ               containing two elements.