Wrap red beets, golden beets, and Chioggia beets separately in foil. Bake at 400°F for 1 hour or until tender. Peel and cut into 1/2-inch wedges.
Shave carrots into wide ribbons using a vegetable peeler. Combine carrot ribbons, arugula, and shallot in a bowl; arrange on a platter. Top carrot mixture with beets. Combine oil, vinegar, honey, salt, and pepper in a bowl; drizzle over salad. Sprinkle with goat cheese and pistachios.
Here is my version of the salad. It is interesting if you actually put it together with the way they suggest, you don’t see the carrots, which are very pretty.