Monroe, last season's Big East Rookie of the Year, recorded his third double-double of the season as the Hoyas (7-0) used their size advantage to control the paint at both ends.
Georgetown finished with a 43-30 rebound advantage, outscored the Bulldogs (6-3) 30-16 inside and held Butler forward Matt Howard to nine points.
NO. 23 TEXAS TECH 80, TCU 70
In Fort Worth, Texas, John Roberson scored eight of his 21 points in a game-turning run that finally put Texas Tech ahead as the Red Raiders overcame an early 14-point deficit.
The Red Raiders (9-0) played their first game as a ranked team since the end of the 2004-05 season, and first for Pat Knight since he succeeded father Bobby in February 2008. They are off to their best start in seven decades -- since a 12-0 start in 1929-30.
NO. 3 NOTRE DAME 96, IPFW 60
In South Bend, Ind., Becca Bruszewski had 18 points and five assists and Lindsay Schrader added 14 points and eight rebounds to lead Notre Dame.
The Fighting Irish (8-0), playing with their highest ranking in five seasons, are off to their best start since going 23-0 and winning the national championship in 2000-01. They dominated inside, outscoring the Mastodons (2-5) 62-12 and outrebounding them 39-27.
NO. 11 NORTH CAROLINA 74, RADFORD 48
In Chapel Hill, N.C., Cetera DeGraffenreid scored 15 points to lead North Carolina.
Italee Lucas and Waltiea Rolle added 11 points apiece for the Tar Heels (7-1), who overcame a season-high 26 turnovers by shooting a season-high 56.6 percent from the floor.
NO. 13 GEORGIA 71,
TENNESSEE STATE 50
In Athens, Ga., Meredith Mitchell scored a career-high 17 points to help Georgia overcome its sluggish start.
Ashley Houts added 13 points and four assists while Anne Marie Armstrong had 10 points for Georgia (9-0).
Both teams played sloppily: Georgia committed 23 turnovers, Tennessee State 22. But Georgia outshot Tennessee State from the field 50.9 percent to 28.3.
NO. 15 PITTSBURGH 77,
In Pittsburgh, Taneisha Harrison had a career-high 27 points as Pittsburgh remained unbeaten.
Harrison, who scored 17 in the second half, shot 11 for 22 from the field with three 3-pointers for the Panthers (8-0).
NO. 19 VIRGINIA 74, FURMAN 43
In Charlottesville, Va., Monica Wright scored 30 points and sparked a first-half run of 22 consecutive points by Virginia.
Wright scored 20 points in the first half for the Cavaliers (7-2), including back-to-back 3-pointers that started the 22-0 run.