Markel Starks and D'Vauntes Smith-Rivera added nine points each as the Hoyas (23-4, 13-3 Big East) recorded their 11th straight win.
Georgetown used the victory to hold onto a one-game lead atop the Big East and clinch a double-bye in the upcoming conference championship tournament.
Rutgers (13-14, 4-12) was paced by Wally Judge with 11 points.
Megyn Kelly: Santa Claus and Jesus are both white men
Costly malfunction causes beer flood at Boston-area brewery