The decision will mean he will miss Uruguay's World Cup campaign.
Araujo said: "I want to make clear the reasons why I made my decision, to avoid speculation.
"I love my country and I love my team. After consulting with several professionals, we decided that the best surgical intervention. Here it is not about choosing one or another, it's about health and getting back to 100% as soon as possible.
"Personally, these are difficult times and I'd like to take this opportunity to thank everyone for the support I'm receiving. With faith and hard work, I'll do my best to get back to as quickly as possible.
"Hugs and blessings! I can do everything in Christ who strengthens me."