a) \(\sqrt[3]{27}-3\sqrt[3]{-8}+6\sqrt{\dfrac{4}{9}}\)
\(=\sqrt[3]{3^3}-3\sqrt[3]{\left(-2\right)^3}+6\cdot\dfrac{2}{3}\)
\(=3-3\cdot\left(-2\right)+4\)
\(=3+6+4\)
\(=13\)
b) \(\dfrac{2}{\sqrt{3}-2}+6\sqrt{\dfrac{4}{3}}-\sqrt{\left(1-\sqrt{3}\right)^2}\)
\(=\dfrac{2\left(\sqrt{3}+2\right)}{3-4}+6\sqrt{\dfrac{4}{9}\cdot3}-\left|1-\sqrt{3}\right|\)
\(=-\left(2\sqrt{3}+4\right)+6\cdot\dfrac{2}{3}\sqrt{3}-\left(\sqrt{3}-1\right)\)
\(=-2\sqrt{3}-4+4\sqrt{3}-\sqrt{3}+1\)
\(=\sqrt{3}-3\)
\(\text{#}Toru\)
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