Real Madrid coach Santiago Solari challenged everyone at the club to respond with bravery after Ajax dumped the Champions League holders out with a brilliant 4-1 victory at Santiago Bernabeu.
Los Blancos' campaign continued to deteriorate following their exit from the Copa del Rey at the hands of bitter rivals Barcelona, who went on to press home their LaLiga dominance with victory on Saturday.
Ajax became the first team to overturn a 2-1 first-leg home defeat in the Champions League as they booked a place in the quarter-finals.
Real Madrid's record of reaching the semi-finals in each of the last eight European campaigns was brought to a shuddering halt.
Without captain Sergio Ramos, who was suspended after deliberately collecting a yellow card in Amsterdam, Real failed to make the most of early dominance as Raphael Varane's header rattled the crossbar before the visitors swept into the lead through Hakim Ziyech.
Dusan Tadic, who produced a brilliant display, set up David Neres for a second in the 18th minute. After Real Madrid lost both Lucas Vazquez and Vinicius Junior to injury, substitute Gareth Bale struck the post just before half-time.
Ajax looked to have put the tie to bed when Tadic swept in a brilliant third goal just after the hour - which was eventually given following an extensive Video Assistant Referee review to check if the ball had gone out of play in the build-up.
Substitute Marco Asensio briefly gave Real hope when he put the ball in off the post with 20 minutes left.
Lasse Schone, though, capped a brilliant night for Erik Ten Hag's side when he curled in an angled free-kick over Thibaut Courtois on 72 minutes.
Real finished with 10 men after Nacho picked up two needless late cautions, while Bale limped on what looked like a serious ankle problem.
It was a fourth successive home loss for Los Blancos, with pressure mounting on Argentine coach Solari.
"The season is difficult, but we are here to show our heart and character in difficult moments," Solari said in his post-match interview with Spanish broadcaster Movistar.
"Easy moments are easy for everyone, you can climb up and surf them, but difficult moments you have to show bravery."
Solari added: "What we must do is remain as calm as possible in such a difficult moment and take it on with the best character.
"Madrid is bigger than any of us - it always returns - and returns even stronger."
Solari admitted Ramos has been a loss at the heart of the defence.
"Without talking badly about any of our players, of course we missed our captain," he said.
Defender Dani Carvajal insisted the players could not "look for excuses".
"I think I have never felt this awful, I do not know how to explain it," he said.
"This week everything has gone against us. Tonight we cannot look for excuses. Our opponents were better and they deserved to go through.
"We have to show our faces and not hide, our season has been a piece of s**t.
"It's never easy to go into a game after two defeats to Barcelona, today we came here with a clear idea that we wanted to win, then two mistakes meant we were two goals down.
"The start of the second half was good but the third goal killed us."
Ajax, meanwhile, go on to reach the Champions League quarter-finals for the first time since 2003.
Coach Erik ten Hag said to Dutch broadcaster Veronica TV: "This was pretty close to perfection. Over the two matches we definitely deserve to progress to the next round.
"I have no influence on the draw, so I'm not going to think about it. All the possible opponents are big teams - but so were Real Madrid."