Fedora uses regular user account for regular day to day activities and a root account for administration. Use the personal account you created during installation (at First Boot) for daily use and root only for administration of your system. To run as 'root' use su or sudo commands. It is highly recommended that you do not use root for non-administration usage. For a single user desktop, configuring sudo so that you can use the same password for both root and your regular account is very convenient. This guide will help you configure sudo to do that:
echo 'sampleusername ALL=(ALL) ALL' >> /etc/sudoers
Where 'sampleusername' is your user account. For example, if your user account is "foobar", you can run
echo foobar ALL=(ALL) ALL' >> /etc/sudoers
Note that if you are prompted for a password with 'sudo' it is the user password, not root.
If you don't want to be prompted a password, use
echo sampleusername ALL=(ALL) ALL NOPASSWD:ALL' >> /etc/sudoers
Note that above setting would allow anyone with access to your account to simply run any command including those requiring root access without any password and represents a substantial security risk.