Rooting an Android tablet is not a very difficult task and same can be said for the Tab 7.7. Here is how to root the Galaxy Tab 7.7. First, make sure you are running the latest ICS firmware on your Tab.
Then download the super su file from here and make a folder called “galaxyroot” on your external micro SD card. Now, boot into recovery mode (not download mode) on your Tab 7.7. If you do not know how to do that, simple hold the power and vol up button together).
In recovery, use Volume button to navigate to apply update from external storage. After you choose apply update from external storage. Press Power button to enter. Then, use the Volume button to navigate to the “galaxyroot” folder we made earlier. Choose, Root_SuperSU.0.95.Only-signed.zip and press the power button. Flashing will commence.