A-1-3-2-1-3-1-2-1-3-1-3-1-3-

Question Number 137582 by SOMEDAVONG last updated on 04/Apr/21

A = \sqrt[3]{\frac{1}{3} (\sqrt[3]{2} - 1) {(\sqrt[3]{2} + 1)}^{3}}

Answered by Ñï= last updated on 04/Apr/21

A = \sqrt[3]{\frac{1}{3} (\sqrt[3]{2} - 1) {(\sqrt[3]{2} + 1)}^{3}}

= \sqrt[3]{\frac{1}{3} (\sqrt[3]{4} - 1) {(\sqrt[3]{2} + 1)}^{2}} = \sqrt[3]{\frac{1}{3} (\sqrt[3]{4} - 1) (\sqrt[3]{4} + 2 \sqrt[3]{2} + 1)}

= \sqrt[3]{\frac{1}{3} (\sqrt[3]{16} + 2 \sqrt[3]{8} - 2 \sqrt[3]{2} + 1)} = \sqrt[3]{\frac{1}{3} (2 \sqrt[3]{2} + 4 - 2 \sqrt[3]{2} + 1)}

= \sqrt[3]{\frac{5}{3}}

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