If it was RAM you'd get a beep error.
It's probably toast. Lots of things are possible - most likely is the fan failed (the mobo won't turn on if it detects the fan is not working). Maybe the AC power supply stopped working or the power jack on the laptop is broken (very common). You're getting brief lights from the battery and then it shuts off because the battery is dead.
If it's newer than 3 years old it might be worth taking to a mom & pop computer shop (AVOID BIG RETAIL STORES!) and get an opinion on it. Considering you can buy a decent new lappy from Dell for under $700 on sale, I wouldn't throw away too much money on it unless it's a simple fix.
If it is dead, don't throw it away. Any laptop with working LCD is worth at least $75 on Ebay for parts. Sometimes more.