Question 29
Let $\lfloor x \rfloor$ denote the greatest integer not exceeding $x$. Find the last three digits of
$$
\left\lfloor \left( \sqrt[3]{\sqrt{5}+2} + \sqrt[3]{\sqrt{5}-2} \right)^{2014} \right\rfloor
$$
$$
\left\lfloor \left( \sqrt[3]{\sqrt{5}+2} + \sqrt[3]{\sqrt{5}-2} \right)^{2014} \right\rfloor
$$