Preheat the oven to 400 degrees. Wrap the beets in foil and roast them for 45 minutes until tender. Let them cool, then peel off the skins.
Add the roasted beets, chickpeas, tahini, garlic, olive oil, lemon juice, and salt to a food processor.
Blend the mixture until smooth, stopping to scrape down the sides as needed.
Spread the hummus across a large serving platter and drizzle with extra olive oil.
Arrange the carrot sticks, red bell pepper slices, and pita triangles around the edges of the platter.