Place the roughly chopped ginger in a blender or food processor. Pulse until ginger is even more finely chopped.
In a saucepan, combine ginger, sugar, and water. Bring to a boil.
Reduce to a simmer and cook, uncovered, for approximately 90 minutes or until mixture is reduced by half (stirring occasionally) The syrup will be a deep caramel color.
Strain the syrup through a fine-mesh strainer or cheesecloth and refrigerate until ready to use.
To make ginger ale, combine 3 Tablespoons of ginger syrup, 8 fluid oz of sparkling water, ½ tsp lime juice (or more to taste). Stir and serve over ice.
Notes
You can always add more or less ginger syrup to your liking!