These are the instructions to root Samsung Google Nexus 10 P8110 running on Android 5.1.1 using Odin on Windows Computer.
Remember: Your Google Nexus 10 should have at least 40-50 percent of battery to perform the rooting process.
(Developer Options are hidden for Android 4.2.2 and above. Go to Settings > About Phone > Built Number > Tap on it 5-8 times to display this option).
Step 8: Once root-windows.bat is opened you will see the following window:
Step 9: Press any key from the keyboard of your computer to begin the rooting process.
Step 10: Now you will be able to see Unlock Bootloader Screen on your Nexus 10 Tab. Select Yes using volume up/down button and power button to continue.
Step 11: Now, on the next screen you will be able to see the FastBoot Screen with Disabled Lock State (at button) which means you have successfully unlocked the bootloader of your Nexus 10 Tab.
Optional: You an also verify the Root Status of your Google Nexus 10 tab using Root Checker Application.
[*] No data loss process: Your Data like contacts, pictures, videos, music and etc will be not affected with the above method.
[*] Warranty Void: Your Google Nexus 10 tab Warranty will be Void after following the above tutorial.
[*] Google Nexus Pixel Stock Firmware: If you are looking for the original firmware for your device, then head over to Download Google Nexus Pixel Stock Firmware page.
[*] Google Nexus Pixel USB Driver: If you are looking for the original USB Driver for your device, then head over to Download Google Nexus Pixel USB Driver page.
[*] Credits: The Google Nexus 10 tab Root Tool was created by Chainfire, so full credits goes to him for the root tool.