1. Contraction of the phrase "rock out."
2. To go out, spend lots of money, drink lots of booze, and shamelessly hit on girls. Essentially, to get nice and go huge.
notes: "rout" is commonly used together with the word "cout" which is itself a contraction of the words "cock out." Routing is also an important concept in the Get Drunk and Go for It
school of thought.