"It is fantastic to be here. I am very happy to be at the best club in the world where I want to score many goals.
"It is wonderful to be here, it is a fantastic feeling. I am very moved at being presented today and then travelling to Austria (for a pre-season tour).
"To come to Real Madrid is a football dream and it has finally become reality.When Real Madrid come looking you do not have to think because they are the number one.
"When I look at their history and their players I am very touched because they have many important names.
"When Beckham left Manchester United I was very sad both on a personal level and because of the way we connected on the pitch. They were wonderful times that I hope will now be repeated in Madrid.
"I have a great desire to play with Ronaldo. He is a phenomenon. His goal record speaks for itself."
More:
"My relationship with Ferguson had ended which was very painful.
"It had nothing to do with the club or the fans.
"It was the relationship with the manager that broke. I thought it was best to leave.
"I had an incredible five years in Manchester and I will always remember my time there and the unconditional support from the fans.
"I never got to say goodbye to Ferguson but there is plenty of time for that. I owe him a lot and that is why it was so painful.
"Ferguson did a lot for me, waiting for me while I was injured then giving me the chance to play and giving me confidence.
"But what happened, happened. A good relationship ended. It was very disappointing for me."
United statement:
"Manchester United would like to wish Ruud all the best at his new club and thank him for the great service he provided."