Samsung Tablet A SM-T585 detailed tutorial is now available on the Ministry of solutions. This rooting method covers both WIFI and LTE models. Rooting this tablet is very easy. Before you proceed with root it’s advised to backup all important data from the tablet. Magisk rooting method used in this tutorial (new system-less rooting method).

Disclaimer:

• Only tested on Oreo 8.1
• Knox will trip during the root process (warranty void)
• You do everything at your own responsibility 

Required Files:

• TWRP for WiFi-only model Click Here
• TWRP for LTE model Click Here
• no-verity-opt-encrypt Click Here
• Magisk Latest Click Here

Rooting Tutorial:

• Backup all important data
• Get a micro sd card and copy downloaded files on your sd card and insert in the tablet
• Tap 7 times on the build number to enable developer options
• Go in developer options and enable OEM unlock
• Enter download mode (Power off then hold volume down +home+power)
• In download mode verify FRP lock is showing off
• Connect tablet with pc
• Open the latest Odin, go to the options tab, and remove the tick from “auto-reboot”
• Click on AP and select TWRP file matching your model then press start
• Once TWRP flashed disconnect the tablet from pc
• Then it’s a tricky thing to get into TWRP, you need to hold the volume down and power keep holding until the screen goes blank, now quickly within a second leave volume down and hold the volume up and home key. Keep holding until TWRP recovery appears.
• Now swipe to allow modifications, then tap on wipe > format data and type yes to confirm (warning do not wipe any other partition)
• Then go back to the main menu and tap on install then tap on select storage > choose micro sd card
• Tap on “no-verity-opt-encrypt-6.0.zip” and swipe to flash
• Then go back to the main menu of TWRP tap on reboot and choose recovery, Tablet will reboot in TWRP again
• Tap on install > select storage> micro sd card and then tap on magisk zip file and swipe to install
• Once magisk flashed successfully reboot your tablet, if you see magisk manager your tablet has been successfully rooted.

Source: XDA

TWRP credit goes to: followmsi