(Arsenal win 5-2 on agg)
Two first-half goals from Thierry Henry eased Arsenal past Celta Vigo and into the Champions League quarter-finals for the first time since 2001.
The French striker seized upon a superb through-ball from Dennis Bergkamp to fire the hosts ahead on 14 minutes.
And Henry doubled Arsenal's lead with a predator's finish, when he latched onto Freddie Ljungberg's deflected cross.
Celta Vigo were well beaten long before substitute Pablo Contreras was sent off for a 74th-minute foul on Jose Reyes.
The teams had endured contrasting fates at the weekend, with Arsenal mauling Portsmouth 5-1 and Celta Vigo losing by the same margin to Espanyol.
And they carried their respective confidence levels into the Highbury encounter.
The Spanish side squandered their early half-chances, while Arsenal scored from their first real attack.
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KEY MOMENTS
14 mins: Henry latches on to a superb Bergkamp pass to score
34: Henry doubles the lead
74: Contreras is sent off for a foul on Reyes
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Restored up front, Bergkamp swivelled on the edge of the area and fed Henry with a sweet outside-foot pass.
Arsenal's top scorer applied a cool finish from a tight angle as he charged into the penalty area.
After Jose Ignacio and Mauricio Pinilla had fired wide for the visitors, Bergkamp laid on the next gilt-edged opportunity, freeing Ashley Cole, who was off target.
But the hosts put the tie beyond doubt moments later.
A quality move started by Robert Pires ended with a tantalising Ljungberg cross and a poacher's finish from Henry for his 29th goal of the season.
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The way we handled the game shows we've matured
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Arsenal did not have the first half all their own way, but keeper Jens Lehmann was only tested by ambitious long-range strikes, which he dealt with comfortably.
And Henry missed a golden chance for his hat-trick just before the interval, when Pires unselfishly laid the ball on for his French team-mate, only for Celta keeper Pablo Cavallero to block his shot.
Pires should have scored himself soon after the restart, but a heavy touch presented the ball to Cavallero.
By then, Arsenal were playing exhibition football and only a high tackle by Cavallero robbed Bergkamp of a goal to cap his fine performance.
Spaniard Reyes was given a run-out against his compatriots for the last 20 minutes.
And he had an immediate impact when Celta Vigo sub Contreras saw fit to bodycheck him and was sent off for a second yellow card.
By then though, the tie had been won.
Arsenal join Chelsea as England's representatives in the last eight of the Champions League.
Arsenal: Lehmann, Lauren, Campbell, Toure, Cole, Ljungberg,
Vieira, Edu (Silva 69), Pires (Reyes 69), Bergkamp (Kanu 76),
Henry.
Subs Not Used: Stack, Keown, Cygan, Clichy.
Celta Vigo: Cavallero, Velasco, Sergio, Caceres,
Silvinho (Contreras 21), Borja, Luccin (Jesuli 29),
Jose Ignacio, Mostovoi, Lopez (Vagner 70), Pinilla.
Subs Not Used: Pinto, Milosevic, Mendez, Edu.
Sent Off: Contreras (74).
Booked: Contreras.
Attendance: 35,402.
Referee: Pierluigi Collina (Italy).