I think the genuine answer is “no but they are closely related.”
As my junior officer Ensign_Crab pointed out, Ginger is a rhizome, not a root, but both started out as low ABV brewed beverages flavored with spices (ginger and sarsaparilla or sassafras respectively) that with the invention of the soda fountain transformed into soft drinks made by mixing flavored syrups with carbonated water.
I think the genuine answer is “no but they are closely related.”
As my junior officer Ensign_Crab pointed out, Ginger is a rhizome, not a root, but both started out as low ABV brewed beverages flavored with spices (ginger and sarsaparilla or sassafras respectively) that with the invention of the soda fountain transformed into soft drinks made by mixing flavored syrups with carbonated water.