Liverpool's Champions League campaign ended in disappointment as Real Madrid set up a semi-final meeting with Chelsea by keeping Jurgen Klopp's side away in a goalless draw at Anfield.
Real attained Anfield protecting a 3-1 lead from the first leg even though they eventually went through in relative comfort Liverpool will curse themselves for missing several glorious first-half chances.
Mohamed Salah shot straight at Real keeper Thibaut Courtois, who also saved well from James Milner, in the opening moments and shot over when he must have hit the mark while Georginio Wijnaldum was also guilty of squandering an possibility to at least apply pressure to Zinedine Zidane's side.
Real's best chance saw Benzema drive in a go that was deflected on to the post, while Courtois was in action again to block Roberto Firmino's angled shot after the break.
Liverpool ran out of steam and ideas as the second half wore on, and Real defended with defiance and resilience to seal the win and setup a gathering with another Premier League side in Thomas Tuchel's Chelsea.