Militao scored the winner within the third minute, ghosting between a number of defenders to move residence from close-range from a nook by Luka Modric.
But regardless of their early breakthrough and a dominant efficiency, Madrid have been unable to interrupt down Getafe’s defensive wall and lengthen their lead.
Taking part in at Getafe has typically prompted hassle for Madrid, who have been winless of their two earlier visits to the Coliseum Alfonso Perez, having failed to attain in each matches.
Madrid, who bounced again from dropping their first factors of the marketing campaign in a disappointing residence draw in opposition to Osasuna final weekend, moved on to 22 factors, three forward of rivals Barcelona who’ve a sport in hand and can host Celta Vigo on Sunday.
“Our objective as we speak was to win and maintain the strain now over Barcelona,” Actual Madrid defender Dani Carvajal advised Movistar Plus.
“We all the time need to rating extra, however the good factor as we speak was our effort in defence.
“To not concede a objective was actually vital and helped us to get to the target that was get again to successful methods.”
After conceding a objective in every of his first seven begins for Actual Madrid, goalkeeper Andriy Lunin saved his first clean-sheet for the Spanish giants.
After the early objective, Actual piled on the strain.
Rodrygo, who performed centre ahead instead of Karim Benzema, who was rested by Madrid coach Carlo Ancelotti forward of subsequent weekend’s El Clasico in opposition to Barcelona, was the focus of Actual Madrid’s assault.
“The clear sheet is essential,” Ancelotti mentioned. “The success we had final 12 months was as a result of the defensive facet was superb, and tonight as properly.
“It is vital like each sport. The Clasico remains to be far off, we’ve got one other sport first. I’ve rested some gamers like Benzema and [Ferland] Mendy. On Tuesday I will rotate a bit extra.”
Rodrygo missed a fantastic likelihood with a close-range header and Modric, who was returning after lacking two video games with a hip damage he suffered on worldwide obligation with Croatia, fired a bullet-shot broad from the sting of the field.
Actual Madrid have been additionally denied a penalty simply earlier than the break, when Vinicius Jr was fouled contained in the field however a VAR examine noticed that the ball had gone out on the left touchline within the build-up.
Rodrygo shot broad instantly after the break and, two minutes later, Getafe goalkeeper David Soria made an unimaginable cease to disclaim a bullet-strike from Tchouameni from contained in the field.
The Brazilian had a objective dominated out a couple of minutes later after the VAR determined he was narrowly offside.
The tempo of the sport dropped as Actual managed possession and a helpless Getafe defended with 11 males in their very own half.
Getafe have misplaced two straight video games and are sixteenth on seven factors, two above the relegation zone.
Data from ESPN’s Alex Kirkland contributed to this report.