Clarke's total included going 5-for-8 from 3-point range.
Roosevelt Jones provided 18 points, six rebounds and four assists for the Bulldogs (18-4, 5-2 A-10), who rebounded from a Thursday loss to Saint Louis.
The Bulldogs remain unbeaten at home, improving to 10-0 at Hinkle Fieldhouse with the help of Khyle Marshall's 13 points.
The Rams (6-14, 1-6) were led by Nikola Malesevic with 18 points.
Xavier Munford and Mike Powell supplied 14 points apiece for Rhode Island.