In a medium pot, sauté the beef until all the pieces turn brown. Pour in water and bring it to a boil. Skim off the foam. Reduce the heat to medium high and continue to boil, covered.
Add the radish pieces and boil, covered, until the radish turns translucent. Stir in the remaining teaspoon of the garlic, scallions, and the remaining tablespoon of the soup soy sauce. Taste for salt and pepper. Boil.