Prepare the ingredients: peel and grate the ginger and garlic, finely chop the tarragon, and squeeze the lemon juice.
In a medium saucepan, melt the butter over medium heat. Add the grated ginger and garlic, and sauté for 1-2 minutes until fragrant.
Pour in the heavy cream, then stir in the freshly squeezed lemon juice, salt, and white pepper. Mix well.
Bring the sauce to a simmer, then reduce the heat to low and cook for 5-7 minutes, or until slightly thickened.
Add the finely chopped tarragon and cook for another 2 minutes to allow the flavors to meld.
Taste the sauce and adjust the seasoning if necessary, with more lemon juice or salt. For a smoother consistency, blend with an immersion blender.
Let the sauce cool slightly, then serve with fish, chicken, or grilled vegetables. It can be stored in the refrigerator for up to 3 days.
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