Narrated Aishah, Ummul Muminin: The Messenger of Allah ﷺ took a bath and offered two rak'ahs of prayer and said the dawn prayer. I do not think he performed ablution afresh after taking a bath.
Explanation & Benefits
Shaykh Umar Farooq Saeedi
Benefits and Issues:
➊ In the Sunnah (recommended) method of ritual bath (ghusl), first comes istinja (cleansing of the private parts) and ablution (wudu); therefore, there is no need to repeat the ablution after the ritual bath, provided that one has not touched the private parts. Performing ablution in a state of nakedness is completely valid.
Source: Sunan Abu Dawood – Commentary by Shaykh Umar Farooq Saeedi, Page: 250