Rooting your Android phone offers more features (like overclocking). I am not responsible for anything you do. M'kay? I don't know if this will work for all phones, but hopefully it works for you.
Z4root cannot be found in the Play Store, so you have to find it online. I don't think I can offer you the apk here, without facing legal troubles, but I recommend you doing this straight from your phone. I'll give you a hint though—FileCrop, the file search engine turns out to be very useful!
After you find the apk, download it.
In order to install apks, you have to enable unknown sources. In order to do this, you have to go to Settings -> Applications. When there, you have to check the box next to Unknown Sources.
Press it, then install.
Open the app and press root. Let your phone do the rest of the work!
If you have problems with the root, go back into Z4root and press re-root. Otherwise, if you want to remove the root altogether, go back into Z4root and press un-root.