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#andy
\[\begin{array}{l}
\sqrt {{{(\sqrt 6 + \sqrt 3 )}^2}} + \sqrt {10} - 2\sqrt {24} \\
= \left| {\sqrt 6 + \sqrt 3 } \right| + \sqrt {10} - 4\sqrt 6 \\
= \sqrt 6 + \sqrt 3 + \sqrt {10} - 4\sqrt 6 \\
= \sqrt 3 + \sqrt {10} - 3\sqrt 6
\end{array}\]
$\sqrt[]{(\sqrt[]{6}+\sqrt[]{3})^2}+\sqrt[]{10}-2\sqrt[]{24}$
$=|\sqrt[]{6}+\sqrt[]{3}|+\sqrt[]{10}-4\sqrt[]{6}$
$=\sqrt[]{6}+\sqrt[]{3}+\sqrt[]{10}-4\sqrt[]{6}$
$=\sqrt[]{3}+\sqrt[]{10}-3\sqrt[]{6}$
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