The Spanish giants scored early through Cristiano Ronaldo and then took control.
Karim Benzema and Gonzalo Higuain added further goals as Madrid continue their quest for a 10th Champions League.
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Summer 2016 is set to be a very exciting time for football fans, as this is when the long awaited Euro 2016 tournament kicks off.
Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.