The Samsung Galaxy Tab E 9.6 (SM-T561) running Android 4.4.4 (KitKat) is typically rooted using Odin on a PC combined with a recovery-based flash or a specialized auto-root file. Rooting this specific device allows for full administrative control, though it will erase your data and likely void your warranty. Prerequisites for Rooting
Select the T561 Root File (usually a .tar file) you downloaded. T561 Root File 4.4.4
When searching for a "Root File" for the T561 on Android 4.4.4, you generally have two paths. The Samsung Galaxy Tab E 9
Upon reboot, you will see the Samsung logo, followed by a red Android icon updating binaries. This confirms the root injection was successful. you will see the Samsung logo