Cube Roots

Problem | Teachers' Notes | Hint | Solution | Printable page |
Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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 $(c-d)^3$?

Published February 1998.