Cucumber Mint and Lime Sorbet

3/4 cup water
3/4 cup sugar
1/2 cup mint leaves, pulled off the stems
1/2 large cucumber, skin peeled and seeds removed (you can use a spoon to easily remove the seeds)
juice from 2 small limes

In a small saucepan, boil the water and sugar until the sugar has completely dissolved.
Remove the simple syrup from heat and add in the mint leaves. Allow to steep for 30 minutes.
In a blender, puree the cucumber and lime juice. Once the simple syrup has completely cooled, strain the mint leaves and pour the syrup into the cucumber and lime mixture.
Pour the mixture into an ice cream maker and follow the manufacturer's instructions.