Hãy tính: \(\left( {x\sqrt {\dfrac{6}{x}} + \sqrt {\dfrac{{2x}}{3}} + \sqrt {6x} } \right):\sqrt {6x}\)

* Hướng dẫn giải

 \(\left( {x\sqrt {\dfrac{6}{x}} + \sqrt {\dfrac{{2x}}{3}} + \sqrt {6x} } \right):\sqrt {6x}\)

\(=\left( {x \cdot \dfrac{1}{x}\sqrt {6x} + \dfrac{1}{3}\sqrt {6x} + \sqrt {6x} } \right):\sqrt {6x}\)

\(= \dfrac{7}{3}\sqrt {6x} :\sqrt {6x}\)

\( = \dfrac{7}{3} \)