10. \(\dfrac{\sqrt{30}}{2}\cdot\dfrac{1}{\sqrt{66}}\cdot\sqrt{220}\)

\(\dfrac{\sqrt{30}}{2}\cdot\dfrac{1}{\sqrt{66}}\cdot\sqrt{220}=\dfrac{\sqrt{30\cdot220}}{2\sqrt{66}}=\dfrac12\sqrt{\dfrac{6600}{66}}=\dfrac{\sqrt{100}}2=5\).

Ответ: \(5\).