Here's the answer:
“能不能试试这个？”
(néngbùnéng shìshi zhègè?)
Watch a real native speaker say it:
Here's how it sounds in a textbook:
You could also say:
- néngbùnéngshìshìzhègè？
- néngbùnéng shìshì zhègè？
Fun fact: the hundreds of thousands of people learning Chinese with Memrise get this phrase correct 97.06% of the time!
