Interesting Surd Problem If $  x  $, $  y  $ and $  z  $ are rational numbers such that
$  \sqrt[3]{\sqrt[3]{2}-1} = \sqrt[3]{x}+\sqrt[3]{y}+\sqrt[3]{z}$ then find $ x,y,z $

According to Srinivasa Ramanujan,
$\sqrt[3]{\sqrt[3]{2}-1}
=\sqrt[3]{\frac{1}{9}}
-\sqrt[3]{\frac{2}{9}}
+\sqrt[3]{\frac{4}{9}}$.
