The simplest rationalisation factor of

$\sqrt[3]{500}=\sqrt[3]{5 \times 5 \times 2 \times 5 \times 2}=\sqrt[3]{5^{3} \times 2^{2}}=5 \sqrt[3]{4}$

So, the simplest rationalisation factor of $\sqrt[3]{500}$ is $\sqrt[3]{2}$.

Hence, the correct answer is option (d).