These are the instructions to root Asus Memo Pad Smart 10 (ME301T) (running on android 4.1.1) using TowelRoot application on Tab itself (no need of computer to root).
Requirements: Your Asus Memo Pad Smart 10 (ME301T) should have atleast 10-20 percent of battery to perform the rooting process.
Step 1: Enable installation of 3 party Apps on your Asus Memo Pad Smart 10. To Enable, Open Settings > Security > Device Administration > Unknown Sources (tick to enable it).
Step 2: Download and install TowelRoot Application on your Asus Memo Pad Smart 10 (ME301T). Once installation is completed you will be able to see the TowelRoot Icon in the App Menu.
Step 3: Now, Tap on the TowelRoot App Icon to Open it.
Step 4: Once TowelRoot Application is launched you will be able to see the following screen on your Device:
Step 5: In TowelRoot, You will be able to see “make it rain” button. Tap on the “make it rain” Option to root your device.
Step 6: Now, you will be able to see the TowelRoot success Message on the Asus Memo Pad Smart 10 (ME301T) Screen.
Step 7: Now your Asus Memo Pad Smart 10 (ME301T) is Rooted. To check whether your tab is rooted correctly, open Applications Menu, there you will be able to see a new app installed, called SuperSU. If this app exist then it means you have successfully rooted your device.
Optional: You can also verify the root status of your device by using the Root Checker Application.
[*] No data loss process: Your Asus Memo Pad Smart 10 (ME301T) Data like contacts, pictures, videos, music and etc will be not affected with this method.
[*] Device Warranty: Once you full unroot your device through SuperSU, you can claim for the tab warranty. In short no need to worry for Asus Memo Pad Smart 10 (ME301T) warranty.
[*] How to unroot: To unroot, Open SuperSU > Settings > Full Unroot.
[*] Asus USB Driver: If you are looking for the original USB Driver for your device then head over to Download Asus USB Driver for all devices page.
[*] Credits: TowelRoot Application is developed by GeoHot (XDA Developer).