I don't know about your specific model of Dell, but this is one of those things that frustrates me to no end. Most computers do not output sound over their HDMI ports. They're basically just a DVI port in an HDMI form factor, which is stupid since TV's do not have the ability to select sound from a different input that video, and TV's are the only reason you'd be using HDMI over DVI in the first place.
If your TV has a DVI port, use that instead. Then you can hook up the laptop's headphone jack to the appropriate audio ins on the TV.