INGREDIENTS
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4 cups cubed peeled baking potato
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1/2 teaspoon salt, divided
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3 tablespoons unsalted butter
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1 cup chopped onion
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1/3 cup chopped carrot
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1 garlic clove, minced
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5 cups chopped fresh broccoli florets, divided
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3 cups fat-free, lower-sodium chicken broth
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2 cups plus 2 tablespoons water, divided
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2 cups 1% low-fat milk
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4 ounces reduced-fat sharp cheddar cheese, shredded (about 1 cup)