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.
Step 1: Download and install Google Nexus 10 USB driver on your computer. If Google Nexus 10 USB drivers are already installed on your computer then skip this step.
Step 2: Enable USB Debugging on your Google Nexus 10 Tab. To enable USB Debugging: Open Settings > Developers Option > USB Debugging > Tick to enable.
(Developers Option is hidden for Android 4.2.2 or above, to show this option Go to Settings > About Phone > Built Number (Tap on it for 5-8 times).
Step 3: Now, Power off your Google Nexus 10 Tab.
Step 4: Now, you have to enable Fastboot Mode on your tab while it is power-off. To enable FastBoot Mode: Press and Hold Volume Up, Volume Down and Power Button at same time until FastBoot Mode is enabled.
Step 5: Connect your Tablet to the computer.
Step 6: Download and extract Root files on your Windows Computer. After extracting you will be able to see the following files:
Step 7: From the extracted file, Open root-windows.bat file and connect your Nexus 10 tab to the computer while the tab is still in FastBoot Mode.
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.
Step 12: Now, your Nexus 10 tab will automatically show red android logo and rooting process will continue. Once Rooting process is completed your Nexus 10 tab will restart automatically.
Step 13: Your Nexus 10 Tab will take 2-3 minutes to restart. Once your Tab is restarted successfully, you will be able to see the welcome screen.
Step 14: Now your Nexus 10 tab is rooted successfully. To confirm, Open App Drawer (menu) and you will be able to see a new Application installed called SuperSU. If you find this app then it means your device is rooted.
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 this 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 for all devices 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 for all devices page.
[*] Credits: The Google Nexus 10 tab Root Tool was created by Chainfire, so full credits goes to him for the root tool.