I take it your monitor has three separate cables connecting it up...? Firstly for mains power, second for video (15-pin "D" plug), and third a cable for the speaker connection. Is that right? Also, confirm that the soundcard is working ok and that you can hear music, sound, etc., despite the hum.
Can you try plugging a separate stand-alone set of speakers into the soundcard output? Do these hum as well? You say you have installed drivers for the soundcard - usually this software will include some sort of software mixer/level control, i.e. a programme you can bring up on the screen to control volume levels. What happens when you adjust this?
If you still have hum in the monitor speakers, it suggests either a bad earth somewhere, lack of screening, or a fault inside the monitor. As said previously, a good test is trying a separate set of speakers if you can...
Good luck!
ROGER - GØAOZ.