This test checks to make sure that none of your registered public name servers have private IP Addresses, that is, IP Addresses which are not publicly routable.
This issue can commonly occur if you have internal DNS name servers with Private IP Addresses that your employees use and those Private IP Addresses are accidentally published in your zone file.
Additional Information
For more information about private or reserved IP Addresses, this Wikipedia article is a great reference to multiple RFCs that cover this topic; most notably RFC 1918 and RFC 5735.