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Robin van Persie scored a superb hat-trick to overturn Manchester United's two-goal deficit from the first leg and send them into the Champions League quarter-final draw.
Van Persie was fantastic on the night but there were several other stand out players for United on a stellar evening at Old Trafford.
David de Gea made several key saves to keep United in it and earn a vital clean sheet.
Wayne Rooney was tireless all game long and Ryan Giggs rolled back the years to run things in midfield.
But who was pick of the players?
See all United's ratings from the match below...
Show all 11 1 /11Manchester United 3 Olympiakos 0 - Player Ratings Manchester United 3 Olympiakos 0 - Player Ratings David de Gea 9 Made a number of key and quality saves throughout the game and was vital in seeing United through. A fantastic double save on the half hour mark was probably the pick the stops but made several others just as important. Good distribution and decision making in a commanding performance
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Manchester United 3 Olympiakos 0 - Player Ratings Patrice Evra 7 Good all round shift from full-back in both a defensive and attacking sense. Drew a good save from the Olympiakos keeper from header following a corner and had another, more tame, effort soon after. Steady at the back and dealt well when the away side started to get on top late on. Booked for high boot on Nelson Valdez and will miss next game
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Manchester United 3 Olympiakos 0 - Player Ratings Rio Ferdinand 7 Dealt well with everything in the air and looked very composed on the ball. Rode luck at times when Olympiakos gained the upper hand in the second half but continued to snuff out any attacks. Booked for bust up late on
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Manchester United 3 Olympiakos 0 - Player Ratings Phil Jones 6 Played well but was a touch suspect against the trickery of Joel Campbell at times. Put in several brave headers in a whole hearted display though and was strong at the back when the pressure was put on in the second half
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Manchester United 3 Olympiakos 0 - Player Ratings Rafael 7 Linked up well with Valencia down the wing and was a threat overlapping from full back. Was steady and watchful in defence and coped well with the pressure that Olympiakos put United under in the second half
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Manchester United 3 Olympiakos 0 - Player Ratings Michael Carrick 7 Broke up everything that Olympiakos could muster for the first 70 minutes and was dogged and determined when the away side starting to get on top later in the game. Helped control the midfield alongside Giggs and showed great touch and composure. Booked for chopping down Hernán Pérez
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Manchester United 3 Olympiakos 0 - Player Ratings Ryan Giggs 8 At 40 years and 110 days became the oldest outfield player to play in the Champions League knockout stages but rolled back the years in a superb display. Orchestrated things from midfield with a masterful passing display. Set up Rooney who hit the post and van Persie for the incident leading to the penalty and played a wonderful pass to release Rooney in the build up for the second goal
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Manchester United 3 Olympiakos 0 - Player Ratings Antonio Valencia 7 (Young, 74) Despite taking a heavy blow to the face early on and receiving a nasty looking shiner in doing so, continued to be a threat with his pace and power down the wing. Track back well all game and drew countless fouls with his trickery
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Manchester United 3 Olympiakos 0 - Player Ratings Danny Welbeck 6 (Fletcher, 82) Quieter going forward than his teammates but still a threat and never stopped running. Won the free kick for United’s third and vital goal but was not in the game as much as he would have liked in an attacking sense
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Manchester United 3 Olympiakos 0 - Player Ratings Wayne Rooney 9 Worked tirelessly all over the pitch, making tackles, winning back possession and playing all manner of passes on a great night’s work. Hit the post with a good header and played a pin point cross for Van Persie’s second goal. Looked hungry throughout and lead from the front for United and was unlucky to not get on the score sheet himself
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Manchester United 3 Olympiakos 0 - Player Ratings Robin Van Persie 9 (Fellaini, 90) His fantastic free kick completely wrong footed Jiménez Gago in the Olympiakos goal to earn his first Champions League hat trick of his career. Won and scored the penalty to settle United nerves and get that all important first goal and finished neatly for his second. Held the ball up well and was a constant threat throughout the game. Vital performance of real class just when United needed him most
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