My Republic Moto X just disconnected from the wifi in our home and I can get it to reconnect again. What should I do?
Usually restarting the phone and/or restarting the router should get you up and running.
If that doesn’t work…try "Forget"ing the network and re-connect to it.
See here for additional info
Yes, sometimes the Internet will “stop working” on one of the devices in my house, but continues to work for others. I power cycle the router (Linksys E1200) and everybody’s back online in a moment.
A bit of a primer and some steps we can take (based on community feedback) is contained in Maximizing your WiFi - getting the best from your Router/network
(Note, even the power off/on of a router has a best practice sequence involved)