If \(x = {(4+\sqrt{15})}^{1/3} + {(4 -\sqrt{15})}^{1/3}\)
Find x^3 - 3x
\(If\ x = {(4+\sqrt{15})}^{1/3} + {(4 -\sqrt{15})}^{1/3}\)
\(Find \ x^3 - 3x\)
\((\sqrt[3]{4+\sqrt{15}}+\sqrt[3]{4-\sqrt{15}})^3-3(\sqrt[3]{4+\sqrt{15}}+\sqrt[3]{4-\sqrt{15}})\color{blue}=8\)
Calculated by http://www.wolframalpha.com/input/?i=48%2F2(9%2B3)%3F
Even I do not.
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