Set oven to 400 degrees.
Wash and cut turnips in half. Rub with olive oil and wrap in aluminum foil. Peel sweet potatoes and rub with olive oil and cover with aluminum foil. Put both into the oven until easily pierced with a fork (about 45 minutes).
Preheat oven to 350° F. Spray an 8x4 loaf pan and set aside.
Shred one cup of zucchini with a food processor or cheese grater. Squeeze out excess liquid with cheesecloth or press dry with paper towels.