Semyon Varlamov made 26 saves for the Avalanche (29-27-12), who have lost three of their past four games and are four points behind the Wild for the second wild card into the playoffs from the West. Philipp Grubauer briefly appeared early in the third period and made three saves after Varlamov had to go to the locker room to get his skate replaced.
"We just couldn't get any secondary chances in there," Avalanche coach Jared Bednar said. "They moved pucks out in front of the net pretty well. They did a nice job in there, so you have to give them credit.
"It was a playoff game for us. We came up short. So now we're going to be chasing it a little bit."
Radulov gave Dallas a 1-0 lead at 16:14 of the first period, skating down the slot and redirecting a pass from Benn at the top of the crease. He extended the lead to 2-0 at 8:55 of the second period when he beat Varlamov blocker side on a shot from the top of the right circle that went in off the post.
Benn made it 3-0 at 5:19 of the third period on a one-timer from the low slot off a pass from below the goal line by Jason Dickinson, and Radulov completed the hat trick to make it 4-0 with an empty-net goal at 17:02.
"It's two times now guys have missed games and they get a little bit of rest and they come back with hat tricks (Benn against the St. Louis Blues on March 2)," Montgomery said. "Maybe there's something to a little bit of rest."
Avalanche captain Gabriel Landeskog left at 9:43 of the third period with an undisclosed injury.
"I was right behind him when it happened," Colorado forward Mikko Rantanen said. "I think Bishop kind of tackled him behind the net, and that's where he got hurt. I hope it's nothing serious and we get our captain back in the lineup."