Prep your produce. Rinse everything well.
Peel the ginger and lemon. Core the apple. Peel the orange and carrot if using.
Cut everything into chunks.
If using a juicer: Run ginger, lemon, apple, orange, and carrot through the juicer. Stir in turmeric and a pinch of black pepper. Taste and adjust with honey if you like.
If using a blender: Add ginger, lemon, apple, orange, carrot, turmeric, black pepper, and 1 cup water.
Blend on high until very smooth. If it’s too thick, add more water.
Strain for a smooth juice. Pour the blended mixture through a fine-mesh strainer or nut milk bag into a jug. Press with a spoon to extract as much liquid as possible.
Compost or save the pulp for smoothies or baking.
Chill and serve. Pour over ice if you like a colder drink. Taste and add a drizzle of honey or maple syrup if you prefer it sweeter. Serve immediately for the brightest flavor.