Will Cuylle had a goal and two assists, and Artemi Panarin and Alexis Lafreniere each had a goal and an assist for the Rangers (19-16-4), who have won three of four. Mika Zibanejad and Jonny Brodzinski each had two assists, and Igor Shesterkin made 30 saves.
Aliaksei Protas had a goal and an assist, and Logan Thompson allowed six goals on 20 shots for the Capitals (19-13-5), who have lost six of seven (1-4-2). Ryan Leonard had two assists in his return after missing seven games with facial and upper-body injuries.
Raddysh tied it 3-3 at 8:10 of the third period when his backhand pass attempt appeared to deflect in off Washington defenseman Matt Roy.
Lafreniere scored 1:08 later to give New York a 4-3 lead at 9:18, deflecting Panarin’s point shot past Thompson.
Trocheck made it 5-3 at 13:43 after scoring on a rebound.
Panarin’s empty-net goal then pushed it to 6-3 at 17:44, and Trocheck scored on a 2-on-1 rush at 18:09 for the 7-3 final.
Raddysh gave the Rangers a 1-0 lead at 14:57 of the first period when he joined the rush and scored on a one-timer at the left post off a cross-ice pass from Brodzinski. The goal ended a 23-game scoring drought.
John Carlson tied it 1-1 on a snap shot 23 seconds into the second period after he received a pass from Protas, skated to the top of the right circle and beat Shesterkin stick side.
Dylan Strome’s power-play goal gave the Capitals a 2-1 lead at 8:40. Shesterkin appeared to rob Strome with a glove save at the right post, but video review determined that the puck had crossed the goal line.
Cuylle tied it 2-2 on the power play at 11:14 when he scored from the left post, tipping in a pass from Zibanejad in the right circle.
Protas put Washington back ahead 3-2 at 12:11, scoring on a snap shot from the bottom of the left circle off the rebound of Sonny Milano’s shot.