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'Cube Roots' printed from https://nrich.maths.org/
Why do this
problem?
It provides experience of using algebra and working with surds. It
leads into complex cube roots if you want to explore the patterns
arising with those solutions.
Key questions
We have to evaluate
$c^{1\over 3} - d^{1\over 3}$ what are $c^3$, $d^3$, $cd$ and
$(c-d)^3$?