At the bottom of the small orange fruit, where there is a slight dimple in the orb, I press it in until the skin ruptures. From there, I peel the skin away. One curious feature of the tangerine is just beneath the protrusion on the pole opposite the dimple. Once the peeling reaches that geometry, if one is very careful, one can extract the root. If one is lucky, the thready ribs once attached to the fruit sections also come away.
The photograph below is a view of that vacant pole.