The difference between Give something a try and Have a crack at
When used as verbs, give something a try means to try or attempt something, whereas have a crack at means to attempt (something).
check bellow for the other definitions of Give something a try and Have a crack at
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Give something a try as a verb (idiomatic):
To try or attempt something.
Examples:
"I always wanted to give windsurfing a try. I reckon it could be fun."
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Have a crack at as a verb:
To attempt (something); to try to do (something).
Examples:
"Let me have a crack at it."