This is the 13622nd most frequent Russian word.
независимого
"Independent."
The word 'независимого' functions here as an adjective describing the noun 'эксперта', referring to someone who is impartial and not influenced by sides in the conflict.
Мы обсудили роль независимого эксперта в решении конфликта.
We discussed the role of an independent expert in resolving the conflict.
The term 'независимого' describes 'источника' (source), emphasizing the necessity of unbiased and impartial information.
Для успешного завершения проекта требуется мнение независимого источника.
For the successful completion of the project, the opinion of an independent source is needed.
Here, 'независимого' modifies 'мышления' (thinking), indicating a quality of self-reliant and free thought.