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1
Peel and cube potatoes cover with salted water in a 4- to 5-quart heavy pot and simmer until very tender.
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2
Drain in a colander.
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3
While potatoes cook, mince garlic and mash to a paste with 1 teaspoon salt using side of a large heavy knife.
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4
Put potatoes through a ricer into the saucepan or mash really well by hand or use your KA mixer with the paddle, then put back in the pot.
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5
Add butter, garlic paste, and milk and cook over moderately low heat, stirring vigorously with a wooden spoon, until fluffy and heated through, about 2 minutes.
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6
Add cheese and pepper and cook, stirring vigorously with a heatproof rubber spatula or wooden spoon, until cheese is melted, smooth, and almost taffylike, about 10 minutes.
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7
Preheat broiler.
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8
Butter baking dish.
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9
(If using 6 individual gratin dishes, butter and put on a baking sheet.)
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10
Transfer potato mixture to baking dish, smoothing top.
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11
Beat cream in a bowl with an electric mixer until it holds soft peaks, then beat in horseradish and remaining 1/4 teaspoon salt.
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12
Spread horseradish cream over potato mixture and broil 4 to 5 inches from heat, rotating gratin if it isn't browning evenly, until golden, 1 to 2 minutes.
