Question

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$\sqrt[6]{9 - \sqrt{17} } \times \sqrt[6]{9 + \sqrt{17} }$
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Answer 1

$\sqrt[6]{9-\sqrt{17}}*\sqrt[6]{9+\sqrt{17}}=\sqrt[6]{(9-\sqrt{17})(9+\sqrt{17})}=\sqrt[6]{9^{2}-(\sqrt{17} )^{2}}=\sqrt[6]{81-17}=\\\\=\sqrt[6]{64} =\sqrt[6]{2^{6}} =2\\\\Otvet:\boxed{2}$