There are plenty of synonyms for the phrase "give a try" that can be used to add variety and nuance to your writing or speaking. Some options include "attempt," "undertake," "make an effort," "test," "experiment," "try out," "probe," "explore," "sample," "taste," "check out," and "assay." Depending on the context and tone of your message, you may prefer one of these phrases over another. For example, "test" or "experiment" might be more appropriate in a scientific or technical context, while "try out" or "check out" might be better suited for trying a product or service. Whatever your preference, be sure to use synonyms thoughtfully and consistently to communicate your message clearly and effectively.