What type of security are you using on the router? (You should be using WPA personal or WPA2 Personal.)
Did you not change the router's name, have a neighbor also with a Belkin router that didn't get its name changed, and you're trying to connect to his router?
Evidently your router works (your laptop connects) and your tab works (it connects to wifi signals), so neither of those are the problem. Your router SETTINGS may be (the type of security - Android has fewer choices than, say, Windows).