This is a traditional Japanese preparation for burdock root (gobo). Normally, both the carrot and burdock are cut into matchsticks, but we prefer the texture of sliced burdock.
Trim and cut into matchsticks:
Scrub well, trim, and cut into very thin slices on the diagonal:
Warm in a large skillet over medium-high heat until shimmering:
Add the carrot and burdock and sauté until just starting to brown, about 4 minutes. Add:
Cook uncovered until the liquid is nearly evaporated and the vegetables are beginning to caramelize. If the burdock is not yet tender, add a little more water and continue to cook until tender. Remove from the heat and stir in: