This video shows how to Root your device with the new TowelRoot method. No computer needed. It will not trip Knox (warranty) on your phone.
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https://www.youtube.com/watch?v=mNEJP8-ma1Q
Thanks to Sam Wolf and Geohot
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https://www.youtube.com/watch?v=mNEJP8-ma1Q
Thanks to Sam Wolf and Geohot