Randomly draw a sample for 2 columns

A well known function for this in Python is random.sample()

However, my dataset consist of multiple columns, and i need the 'lat' and 'lng' coordinates to be sampled. As these two are related, i cannot use the random.sample() separately to get some random lat coordinates + some non corresponding lng coordinates.

What would be the most elegant solution for this?

Perhaps first making a third column, in which i combine lat&lng Then sample Then unmerge?

If so, how should i do this, the fact that both lat and lng values are floats with different lengts doesn't make it easier. Probably by adding a'-' in between?