Calculation

There was a time where I had this idea in my head that if I found a way to apply basic principles into every move I made, I'd be able to play straightforward, Fischeresque chess... and win every game.

Turns out the single most important thing in chess is Calculation, followed closely by the twin sisters Evaluation and Pattern Recognition (their parents hated them and gave them stupid names, don't hate).

So... here's an endgame position for you to think about. 

White had a slight advantage against a lower rated opponent straight out of the opening and held it for the entire game.  Unfortunately there was no good way to avoid drastic simplification, and this was all he was able to get.

Can white win?

Should he trade rooks?

If this position is objectively drawn, what's the best way to make it hard on black to hold?

Post your answers in the comments.  I'm sure somebody will figure it out :)