Gonzalo Higuain equalised for Madrid in the second half of the match but it was not enough to prevent Barcelona celebrating their title a day early.
Barcelona take on Atletico Madrid tonight, who will be hoping to close the gap on Real, who remain second.
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The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.
Five English clubs will compete in the last sixteen of the Champions League for the first time ever as Liverpool, Manchester United, Manchester City, Chelsea and Tottenham face some difficult away matches.