This is the 4114th most frequent Russian word.
попытайтесь
"Попытайтесь" means "try" or "attempt" (imperative, formal or plural).
The word 'попытайтесь' is used here to encourage someone to make an attempt at completing a task or challenge, implying a polite and respectful form of suggestion or instruction.
Попытайтесь решить эту задачу самостоятельно.
Try to solve this problem on your own.
In this sentence, 'попытайтесь' suggests an action to be taken in preparation for an event, carrying a nuance of taking initiative.
Если у вас есть вопросы, попытайтесь сформулировать их заранее.
If you have questions, try to formulate them in advance.
Here, 'попытайтесь' is employed to invite someone to empathize or imagine a perspective different from their own.