Denesting of Ramanujan's radicals (2)
Algebra
Level
4
For what real value \(k\) does
\[\large \sqrt[3]{\sqrt[3]{2}-1} = \sqrt[3]{\frac{1}{9}} - \sqrt[3]{\frac{k}{9}} + \sqrt[3]{\frac{k^2}{9}}?\]
by
Tommy Li