There are different ways you can root an android device. Just a simple google search will show you the step by step process on how to quickly and easily root your android, and others will also give you a link on a specific application for rooting your device. For this answer, you can download the application called Android Root.
Once you successfully installed the application on your phone, connect your device to your computer and simply click “Root Now”. Note: If your device has never been rooted before, the application will check first if your phone model is supported before you can continue with the process. If it is not supported, then you will have to check other application that support your specific android model.