Question

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$\sqrt[3]{5 - 2 \sqrt{6} } \times \sqrt[3]{5 + 2 \sqrt{6} }$
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Answer 1

$\sqrt[3]{5-2\sqrt{6}}*\sqrt[3]{5+2\sqrt{6}}=\sqrt[3]{(5-2\sqrt{6} )(5+2\sqrt{6})}=\sqrt[3]{5^{2}-(2\sqrt{6)}^{2}}}=\sqrt[3]{25-24} =\\\\=\sqrt[3]{1} =1\\\\Otvet:\boxed{1}$