Root is easy - and as far as the video battery drain, are you playing vids in HW accelerated mode, or all software acceleration? Between that and the backlight, itserms to e a bit of a battery hog. That, and I suspect Google Maps is now even more of a battery hog due to Now, as my Galaxy Nexus is draining far faster on JB than on ICS.
Some tablets lose 1-2% a day; XDA has reports of 8-10% in 8 hours.
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