Đáp án:
$\begin{array}{l}
a)\sqrt {\dfrac{1}{{600}}} = \dfrac{{\sqrt {600} }}{{600}} = \dfrac{{10\sqrt 6 }}{{600}} = \dfrac{{\sqrt 6 }}{{60}}\\
b)\sqrt {\dfrac{{11}}{{540}}} = \dfrac{{\sqrt {11.540} }}{{540}} = \dfrac{{\sqrt {11.15.36} }}{{540}}\\
= \dfrac{{6\sqrt {165} }}{{540}} = \dfrac{{\sqrt {165} }}{{90}}\\
c)\sqrt {\dfrac{3}{{500}}} = \dfrac{{\sqrt {1500} }}{{500}} = \dfrac{{10\sqrt {15} }}{{500}} = \dfrac{{\sqrt {15} }}{{50}}\\
b)ab\sqrt {\dfrac{a}{b}} = a.\sqrt b .\sqrt a = a\sqrt {ab} \\
c)\dfrac{a}{b}.\sqrt {\dfrac{b}{a}} = \dfrac{{\sqrt a }}{{\sqrt b }} = \dfrac{{\sqrt {ab} }}{b}\\
d)\sqrt {\dfrac{{9{a^2}}}{{36b}}} = \dfrac{{\sqrt {{a^2}} }}{{\sqrt {4b} }} = \dfrac{a}{{2\sqrt b }} = \dfrac{{a\sqrt b }}{{2b}}
\end{array}$
