I installed MySQL on Microsoft Windows 8 Using a noinstall Zip Archive. But when i tested by executing the following commands on windows prompt, the above error showed up.<
Test if the server is running. You can use netstat for this. See https://serverfault.com/questions/260239/unable-to-connect-to-mysql-through-port-3306
If it is running, it may be the firewall. You can turn that off to test if that is the problem.
See the following manual to install Mysql as a service: https://dev.mysql.com/doc/refman/5.5/en/windows-start-service.html