Question

evaluate it with full solution​

Answer 1

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Answer 2

$\sqrt[3]{288 \sqrt[3]{72 \sqrt[3]{27} } } \\ = \sqrt[3]{288 \sqrt[3]{72 \sqrt[3]{3 \times 3 \times 3} } } \\ = \sqrt[3]{288 \sqrt[3]{72 \times 3} } \\ = \sqrt[3]{288 \sqrt[3]{2 \times 2 \times 2 \times 3 \times 3 \times 3} } \\ = \sqrt[3]{288 \times 6} \\ = \sqrt[3]{2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3 \times \times 2 \times 3} \\ = 12$