
Classic French butter sauces have a reputation for being fussy, but this one rewards patience with something genuinely luxurious — silky, herb-bright, and rich enough to make a simple steak feel like a restaurant splurge. The base is a sharp reduction of dry white wine, white wine vinegar, shallots, and fresh tarragon, which gives the finished sauce its signature tangy backbone before a single drop of butter goes in. Clarifying the butter yourself is a key step here: removing the milk solids creates a pure, stable fat that emulsifies smoothly into the egg yolks without breaking. Whisking the yolks over a double boiler until they hit a safe temperature means you get both food safety and that thick, glossy texture that makes béarnaise so irresistible. The finishing touch of finely chopped fresh tarragon — and optional chervil — keeps the flavor clean and aromatic rather than muddled. For anyone avoiding certain warming spices that often sneak into classic French mother-sauce variations, every ingredient here is straightforward and easy to verify. Spoon it generously over grilled beef, roasted asparagus, or poached fish and prepare for compliments.
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Combine the white wine, white wine vinegar, minced shallots, roughly chopped tarragon, and cracked black pepper in a small saucepan over medium heat. Bring to a simmer and cook until the liquid is reduced to about 2 tbsp, 5–7 minutes. Strain through a fine-mesh strainer into a heatproof bowl, pressing on the solids to extract all the liquid; discard the solids. Let the reduction cool for 2–3 minutes until no longer steaming.
Melt the butter in the small saucepan over medium-low heat, then increase the heat slightly and cook until the foam subsides and the milk solids settle to the bottom, about 5 minutes. Skim off any foam from the surface. Carefully pour the clear golden butter into a liquid measuring cup or small pitcher, leaving the white milk solids behind in the pan; discard the solids. Keep the clarified butter warm.
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