Add sliced carrots to microwave-safe dish and add ½-inch water to bottom. Top with lid and microwave for approximately 3 minutes or until steamed and tender, but not mushy. Remove from microwave and add to colander, rinsing with cold water.
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Add carrots, cucumber, tomatoes with juice, onion, ginger, vinegar, lemon zest and lemon juice to blender. Pour coconut water on top and process until smooth, adding more coconut water if needed (or sub water, if can empty).
Can serve at room temperature, but tastes better if chilled for several hours prior. Garnish with additional lemon zest, snipped mint and unsweetened shredded coconut.