Led by Luis Suarez, Barca punished Madrid after the break, the Uruguayan scoring either side of Raphael Varane's own goal to send Barca into a record sixth straight final courtesy of a 3-0 second-leg win.
Substitute Marco Asensio gave Madrid a glimmer of hope by striking back but it was quickly extinguished by a breathtaking free kick from Lasse Schone, condemning Real to a fourth consecutive home defeat in all competitions.
This is the first time Tottenham are in the last eight of the Champions League since 2010/11 when they bowed out 5-0 on aggregate to Real Madrid.
That misconception lasted barely seven minutes, as the visitors took advantage of an early mistake and punished Real ruthlessly.
Clippers take care of skidding Lakers
The Lakers, meanwhile, are on track to miss the playoffs for the sixth straight time, the longest drought in the franchise's 71-year history.
Forecasters: A foot of snow could be on the ground by Monday
In a news release, the agency stated that sleet, freezing rain and blowing snow would make driving unsafe . Traffic problems were reported amid the snow throughout the region, with a two-vehicle crash around 4 a.m.
Jonas Brothers To Premiere "Sucker" On ‘The Late Late Show’
The music video shows the exotic scenes of England. "They were excited", Nick said when asked about how their women got involved. The brothers said crooning about their love for their three leading ladies was a family affair. "Hope you guys love it.
Tadic, who joined the Dutch side last year after struggling for consistency during four years at Southampton, bossed the centre of the pitch and dominated Real's midfield trio of Toni Kroos, Luka Modric and Casemiro.
Madrid president Florentino Perez is now faced with deciding whether it is worth keeping Solari until the end of the season, let alone beyond the summer. The side have lost two recent Clasicos, they've lost to teams int he league they shouldn't have and they've failed to score in 10 games this season. It's just that, as so often happens in every sport, if you do it cautiously, try to reload instead and put your faith in the wrong players, you pay a price.
Raphael Varane and Luka Modric have only recently recovered from their World Cups while Toni Kroos still doesn't look like the player he was before departing for Russian Federation in June.
This is the end of a cycle that, probably, should have ended a year ago but was extended thanks to the unique combination of talent and experience, spit and gravel.
The following day, Real sacked Lopetegui and replaced him with Santiago Solari.
For Real defender Dani Carvajal, the loss came as a hammer blow.