solution: We can see that
  
  \begin{align*}
  \sqrt{10\cdot 15\cdot 24} &= \sqrt{(2\cdot 5)\cdot (3\cdot 5)\cdot (2^3\cdot 3)}\\
  &= \sqrt{2^4\cdot3^2\cdot 5^2} \\
  &= 2^2\cdot3\cdot5 \\
  &= \boxed{60}.
  \end{align*}
prompt.content: <|im_start|>system
  You are a helpful assistant.<|im_end|>
  <|im_start|>user
  What is the positive square root of the product $10 \times 15 \times 24$?
  Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
  <|im_start|>assistant
  
prompt.role: user
extra_info.answer: 60
extra_info.question: What is the positive square root of the product $10 \times 15 \times 24$?
extra_info.split: test