Dutch Erediviesie side, Ajax has axed out last two terms Champions League title holders, Real Madrid from the race with a 4-1 away win at Bernabeu.
Ajax headed into the game with With Real leading 2-1 from the first leg needing to score at least two goals to reach their first quarter-final in 22 years which actually came just 18 minutes after Hakim Ziyech and David Neres made good chances.
Dusan Tadic added in the 62nd after a VAR review.
However, Marco Asensio sparked hopes of a late Real rally pulling one out at 70th minutes before Lasse Schone looped a free-kick over Thibaut Courtois two minutes later to end show.
Real Madrid are out to pursue their La Liga title away at Real Valladolid on Sunday