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Exercise

$9^{\frac{1}{3}}\left(\sqrt{2}+1\right)^{\frac{1}{3}}\left(27-2\sqrt{162}\right)^{\frac{1}{6}}$

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Final answer to the exercise

$\sqrt[3]{9\sqrt{2}+9}\sqrt[6]{27-18\sqrt{2}}$

Exact Numeric Answer

$3$

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