This is the 2415th most frequent Polish word.
śląskiego
"Śląskiego" means "of Silesian" or "Silesian" (possessive or adjectival form relating to Silesia).
Here, 'śląskim' describes the voivodeship, indicating it is related to the region of Silesia.
On mieszka w województwie śląskim.
He lives in the Silesian voivodeship.
'Śląskie' qualifies the dumplings as being traditional from Silesia, used as an adjective.
To jest przepis na tradycyjne śląskie kluski.
This is a recipe for traditional Silesian dumplings.
'Śląska' refers to the culture of Silesia, showing belonging or association.