Calculate: a^3=8

Expression: $a^{3}=8$

For $x^{3}=f(a)$ the solutions are $x=\sqrt[3]{f(a)}, \sqrt[3]{f(a)}\frac{-1-\sqrt{3}i}{2}, \sqrt[3]{f(a)}\frac{-1+\sqrt{3}i}{2}$

$a=\sqrt[3]{8},a=\sqrt[3]{8}\frac{-1+\sqrt{3}i}{2},a=\sqrt[3]{8}\frac{-1-\sqrt{3}i}{2}$

$\sqrt[3]{8}=2$

$a=2,a=-1+\sqrt{3}i,a=-1-\sqrt{3}i$