Ronaldo struck after 78 and 84 minutes before Nacho helped himself to a second on an afternoon when Deportivo goalkeeper Ruben made a series of fine saves to spare his team further damage.
Ronaldo caught a stray boot to the head as he powered an effort past Ruben, and proceeded to stay down in order to receive treatment in the immediate aftermath.
Ruben managed to repel Casemiro's firm 58th-minute header, but once again his efforts proved in vain as Bale got his head to Toni Kroos' resulting corner to glance home his side's third goal.
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Real went on to win the game 7-1.
"We know we can play in many different shapes", Zidane said.
"We can change shape, but the most important was the attitude we showed". "I think we'll get back to our best slowly but surely".
Real, now fourth in La Liga, trails league leaders FC Barcelona by nine points.
United have also remained in the mix to re-sign Ronaldo having sold him back in 2009 and the five-time Ballon d'Or victor has always maintained a strong affiliation with his former club. "In the end, I am happy for that".
The club is next in action on Wednesday, when it hosts Leganes at the Santiago Bernabeu for the second leg of the Copa del Rey quarter final.