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6 tablespoons unsalted butter
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12 cups radish greens (from 4 large bunches of radishes), coarsely chopped
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1/2 pound scallions, white and tender green, cut into 1-inch lengths
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4 1/2 cups water
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Salt and freshly ground white pepper
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Croutons
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In a large saucepan, melt 3 tablespoons of the butter over moderately high heat. Add the radish greens and scallions and cook, stirring occasionally, until wilted, about 4 minutes. Add the water, bring to a boil and simmer until the vegetables are tender, about 10 minutes. Let cool slightly. Puree the soup in batches in a blender, about 2 minutes per batch.
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Gently reheat the soup in a clean saucepan. Swirl in the remaining 3 tablespoons of butter and season with salt and white pepper. Serve in shallow soup plates, garnished with the Croutons.
Make Ahead
The soup can be prepared through Step 1 and refrigerated for up to 8 hours.