You must definitely have root hints listed with ipaddresses in all your DNS servers. They are needed as when forwarders fail to resolve any DNS name, the name resolution will use root hints as an alternate method.
Forwarders are preffered over root hints but that doesn't mean that you leave your root hints empty on your DNS server.
In order to re-populate them with ipaddresses, you have an option to copy it from another server which has those root hints listed. it's given in the root hints tab of your DNS server properties.