A statement from Kensington Palace said the princess has now returned to her home in Windsor and that she is “making good progress”.
She was driven away from the London Clinic private hospital without any public appearance.
The exact nature of the surgery has not been revealed, but the princess will need months of recuperation.
The princess had spent 13 nights in hospital since her operation and is not expected to return to official duties until after Easter.
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Kensington Palace said the Prince and Princess of Wales wanted to send a “huge thank you” to the medical team at the central London hospital and for the “well wishes they have received from around the world”.
The palace statement said the princess would “continue her recovery” from home.
Catherine, 42, was staying in the same private hospital as the King, who visited her before he had a procedure for an enlarged prostate on Friday.
The King remains in hospital after being treated for a benign prostate problem, which is non-cancerous, and a common condition in older men, according to the NHS.
About one in three men over the age of 50 will have some symptoms of an enlarged prostate, which is a gland that sits just below the bladder.
The plan for King Charles, aged 75, to have “corrective procedure” for his prostate was made public as a way of encouraging other men to get prostate checks.
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© Copyright RawNews1st