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Lenalook14 @Lenalook14

July 2022 1 1 Report

[tex] \frac{32}{9-3 \sqrt[3]{5}+ \sqrt[3]{25} } - \sqrt[3]{5} [/tex]

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Banabanana

Verified answer

$\cfrac{32}{9-3 \sqrt[3]{5}+ \sqrt[3]{25} } - \sqrt[3]{5} = \cfrac{32(3+ \sqrt[3]{5} )}{(9-3 \sqrt[3]{5}+ \sqrt[3]{25})(3+ \sqrt[3]{5}) } - \sqrt[3]{5} = \\\\\\ =\cfrac{32(3+ \sqrt[3]{5} )}{(3)^3+ (\sqrt[3]{5})^3 } - \sqrt[3]{5} =\cfrac{32(3+ \sqrt[3]{5} )}{27+ 5 } - \sqrt[3]{5} =\cfrac{32(3+ \sqrt[3]{5} )}{32} - \sqrt[3]{5} = \\\\\\ =3+ \sqrt[3]{5} - \sqrt[3]{5} =3$

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