Preheat oven to 400F (200C). Wrap the whole beetroots in foil and roast for 45 to 60 minutes until fork-tender.
Let the beets cool completely, then peel the skins off and chop the beets into small chunks.
In a food processor, combine the chopped beets, chickpeas, tahini, lemon juice, garlic, salt, and cumin.
Blend the mixture continuously while slowly pouring in the olive oil until the dip is completely smooth and creamy.
Transfer the dip to a wide serving bowl and garnish with toasted almonds, black and white sesame seeds, and fresh mint leaves before serving.