Python 2, 4847 bytes
A straight forward solution. The function expects 2 points as sequences of numbers, and returns the distance between them.
lambda a,b:sum((d-e)**2for d,e in zip(a,b))**.5 Example:
>>> f([13.37, 2, 6, -7], [1.2, 3.4, -5.6, 7.89]) 22.50202213135522