Prepare the vegetables: Grate the potatoes and carrots into a large mixing bowl. Squeeze out any excess moisture from the grated potatoes using a clean kitchen towel or paper towel. This will help the patties crisp up nicely when frying.
Mix the ingredients: Add the grated carrots and potatoes to a large bowl, along with the chopped green onions. Season with 1/4 teaspoon of salt and black pepper. Add the eggs, cornstarch, and wheat flour to the bowl and mix everything thoroughly until all the ingredients are well incorporated.
Form the patties: Using your hands, form small patties from the mixture. You can make them as small or as large as you prefer, but aim for about 2-3 tablespoons of the mixture per patty.
Fry the patties: Heat vegetable oil in a frying pan over medium heat. Once the oil is hot, add the patties, being careful not to overcrowd the pan. Fry the patties on each side for 2-3 minutes, or until golden brown and crispy.
Drain and serve: Remove the patties from the pan and place them on a paper towel-lined plate to drain any excess oil. Serve hot with your favorite dipping sauce or as a side dish.