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anemone
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Let $a,\,b$ and $c$ be real numbers such that
$a+b+c=ab+bc+ac=-\dfrac{1}{2}\\abc=\dfrac{1}{8}$
Evaluate $a^{\tiny\dfrac{1}{3}}+b^{\tiny\dfrac{1}{3}}+c^{\tiny\dfrac{1}{3}}$.
$a+b+c=ab+bc+ac=-\dfrac{1}{2}\\abc=\dfrac{1}{8}$
Evaluate $a^{\tiny\dfrac{1}{3}}+b^{\tiny\dfrac{1}{3}}+c^{\tiny\dfrac{1}{3}}$.