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Is it possible for the root system of fruiting plants to adapt to a hydroponic environment?

Hydroponics yes, I grow tomatoes, cucumbers, peppers, eggplant, squash. On occasion I grow small watermelon, cantaloupe, and even sunflowers (as a test) in hydroponics.

In Aquaponics I'm not sure, since the plants require other heavy minerals like calcium and magnesium and I'm not sure how those effect the fish. You would have to research that more.