The Spaniard's thunderbolt put City two goals ahead in the second half after Raheem Sterling opened the scoring in the first period.
A fine display was capped off by Bernardo Silva poking in a third goal from Cole Palmer's deflected shot.
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Rodri's strike was the pick of the bunch and the midfielder was pleased with the manner of his goal.
"Of course I am very happy with my goal, I don't score many," he said. "Many times I don't have the opportunity to shoot as I pass, but at that moment I felt it, kind of a rocket.
"I'm very happy because the goal was a beauty.
"It's always difficult after international break. The crowd realised how good we are at this moment of the season. I think we are outstanding right now."
Pep Guardiola's men broke the deadlock in fine fashion through Sterling, who marked his 300th Premier League appearance with a fine finish from a splendid Joao Cancelo pass.
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Rodri was delighted to see the Englishman back in the starting line up and on the scoresheet.
"It's a special day for everyone. It has not been a good time for him but he showed his personality today," he said.
"He has been such an important player for the club the last few years. We need him.
"I am very glad and happy for him. He deserved this. He trained so well this week."