[1_Rain_Drop]

I wonder if cutting up ginger root and adding it to club soda would be the same as ginger ale?

[ProtectOurFreedom]

It sure would. Just don't forget the sugar.

Homemade Ginger Ale

[oldvirginian]

“I wonder if cutting up ginger root and adding it to club soda would be the same as ginger ale?”

Better in most cases.
Most ginger ales now use artificial flavoring so none of the benefits of ginger is in the ale.
Canada Dry still has the ginger extract.

Three ways to make ginger ale at home
https://www.wikihow.com/Make-Ginger-Ale