Đáp án:
$\begin{array}{l}a)A = \dfrac{{3 - \sqrt 3 }}{{\sqrt 3 }} = \dfrac{{\sqrt 3 \left( {\sqrt 3 - 1} \right)}}{{\sqrt 3 }} = \sqrt 3 - 1\\b)B = \dfrac{{2\sqrt 2 + \sqrt 6 }}{{4 + \sqrt {12} }}\\ = \dfrac{{\sqrt 2 .\left( {2 + \sqrt 3 } \right)}}{{4 + 2\sqrt 3 }}\\ = \dfrac{{\sqrt 2 \left( {2 + \sqrt 3 } \right)}}{{2\left( {2 + \sqrt 3 } \right)}}\\ = \dfrac{{\sqrt 2 }}{2}\\c)C = \sqrt {9{{\left( {x - 5} \right)}^2}} \left( {x \ge 5} \right)\\ = 3\left( {x - 5} \right)\\d)D = \dfrac{{\sqrt {6 + 2\sqrt 5 } }}{{\sqrt 5 + 1}} = \dfrac{{\sqrt {5 + 2\sqrt 5 + 1} }}{{\sqrt 5 + 1}}\\ = \dfrac{{\sqrt {{{\left( {\sqrt 5 + 1} \right)}^2}} }}{{\sqrt 5 + 1}}\\ = \dfrac{{\sqrt 5 + 1}}{{\sqrt 5 + 1}}\\ = 1\end{array}$
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