This ASUS Transformer rooting method is made by Justin Case using NachoRoot. If you are interested, you can follow the step by step below. However, I want to remind you -- if after following the steps your device ends bricked, damage or lose data -- that would be your responsible entirely. I will not be responsible for it. So do this at your own risk.
Root ASUS Transformer Prime On Android 3.2.1 Honeycomb With NachoRoot.
Step 1. Have ADB setup to your computer -- here.
Step 2. Download these files from direct links below:
Step 3. Set USB debugging enabled, navigate to Settings > Applications > Development.
Step 4. Plug you Transformer tablet to your computer using a USB.
Step 5. Launch command prompt, go to ADB directory from your computer, and then type these commands.
adb push nachoroot.bin /data/local/
adb shell chmod 777 /data/local/nachoroot.bin
adb shell /data/local/nachoroot.bin --stage1
Wait your device for booting. Afterward root with this command:
adb shell /data/local/nachoroot.bin --stage2
Wait your device for booting. Afterward type this command:
adb shell id
If id appears is 0, you can continue rooting using these commands: (However if id showing is not 0, then back to the step 5).
adb push su /system/xbin/su
adb shell chown 0.0 /system/xbin/su
adb shell chmod 06755 /system/xbin/su
adb shell /data/local/nachoroot.bin --undo
6. Finish the steps by download the Super User app via Android Market.
7. Finish, now your beloved Transformer Prime Android tablet is rooted, you can continue to use apps like ROM Manager, Titanium Backup, Market Enabler to root-only activity.
Via: Android Police.