solution: The radical conjugate of this number is $5-\sqrt{3},$ so the product of the two numbers is \[(5+\sqrt3)(5-\sqrt3) = 5^2 - (\sqrt3)^2 = 25 - 3 = \boxed{22}.\]
prompt.content: <|im_start|>system
  You are a helpful assistant.<|im_end|>
  <|im_start|>user
  Compute the product of the number $5+\sqrt{3}$ and its radical conjugate.
  Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
  <|im_start|>assistant
  
prompt.role: user
extra_info.answer: 22
extra_info.question: Compute the product of the number $5+\sqrt{3}$ and its radical conjugate.
extra_info.split: test