This is the 2704th most frequent Polish word.
dały
"Dały" means "they gave" in English.
The word 'dały' is used as the past tense form of 'to give' for third person plural, feminine gender.
Dały mi książkę, którą bardzo chciałem przeczytać.
They gave me the book that I really wanted to read.
Here, 'dały' is part of the phrase 'dały znać' which means 'let know' or 'informed'.
Dały znać, że przyjdą szybciej.
They let me know that they would come earlier.
In this case, 'dały' appears in 'dały sobie radę', meaning 'managed' or 'succeeded'.