Giải thích các bước giải:
Ta có:
\(\begin{array}{l}
\dfrac{1}{2}\sqrt {48} - 2\sqrt {75} - \dfrac{{\sqrt {33} }}{{\sqrt {11} }} + 5\sqrt {\dfrac{4}{3}} \\
= \dfrac{1}{2}.\sqrt {{4^2}.3} - 2.\sqrt {{5^2}.3} - \sqrt {\dfrac{{33}}{{11}}} + 5.\dfrac{{\sqrt 4 }}{{\sqrt 3 }}\\
= \dfrac{1}{2}.4.\sqrt 3 - 2.5.\sqrt 3 - \sqrt 3 + 5.\dfrac{2}{{\sqrt 3 }}\\
= 2.\sqrt 3 - 10\sqrt 3 - \sqrt 3 + 10.\dfrac{{\sqrt 3 }}{3}\\
= - 9\sqrt 3 + \dfrac{{10}}{3}.\sqrt 3 \\
= - \dfrac{{17}}{3}\sqrt 3
\end{array}\)
