Fit a food processor with the grating disc. Shred the potatoes. Place them in a colander and squeeze them to remove moisture. Place them in a large mixing bowl. Repeat with the beets.
Add garlic, beaten eggs, flour, salt and black pepper and use your hands to combine.
Place a 12-inch skillet over high heat. Add oil and heat until it shimmers. While oil heats, form the potato and beet mixture into patties, pressing firmly. Carefully place them into the hot oil and cook for 5 to 6 minutes on the first side, and 2 to 3 on the second side.
When latkes are finished cooking, place them on paper towels or newspaper to drain.
Serve hot, with plenty of sour cream and fresh dill.
Makes 12-14 latkes