The Short Version
The claim accurately captures the established historical consensus. All consulted sources confirm that Trajan's Dacian Wars culminated in the fall of Sarmizegetusa, the death of King Decebalus, and the formal annexation of Dacia as a Roman province in 106 AD. The claim's use of the plural "Dacian Wars" and the phrase "resulted in" is consistent with the two-stage process (wars of 101–102 and 105–106 AD) documented across academic and reference sources.