Yea it should handle it but you will need adapters for the external power for the second card. Spend a bit more and get a PSU that has all the necessary connectors and does not cut it quite so close. If you have the money to spend on CF'd 5850's, don't cheap out on the PSU. I would recommend the Corsair TX750. Costs a bit more but better quality and has all the necessary connections without using adapters.