Real Madrid kept their Champions League title defence alive with a 2-0 win over Chelsea on Tuesday that secured a 4-0 aggregate success in the quarter-finals.
Rodrygo's second-half double helped Los Blancos see off any chance of a Blues comeback at Stamford Bridge to book their semi-final spot.
Frank Lampard's hosts offered an energetic improvement on their performance in the reverse fixture at the Santiago Bernabeu last week.
But their inability to convert chances ultimately left the door open for Carlo Ancelotti's side to make it a comfortable passage to the last four in the end.
Chelsea started with dogged intent, going close when N'Golo Kante sliced a volley wide 11 minutes in.
Madrid did not rest on their own laurels, however, with Rodrygo striking the post almost midway through the first half after he was played smartly into the box.
Luka Modric tested Kepa Arrizabalaga with a powerful shot just past the half-hour mark, while Thibaut Courtois denied Marc Cucurella from six yards after the Blues man found himself in space.
But their best chance arguably fell to Kante just after the restart, his strike off Conor Gallagher's header was blocked at close-range.
That miss allowed Madrid to make the breakthrough instead, with Rodrygo smashing home Vinicius Junior's square return ball in the 58th minute.
His effort took the sting out of the contest, and when the Brazilian added a second in the 80th minute from Federico Valverde's cut-back, it allowed the visitors an easy ride to the finish line.