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When studying roots, you most often see square roots and cube roots; only occasionally do you see the fourth or fifth root. However, it can be interesting to consider other possible roots.

To consider other possible roots, answer the questions here:

  • Write a whole number, n, that is larger than 5. To keep things interesting, try to pick an n different from what your classmates have already chosen.
  • Give an example of a number whose nth root (for your n above) is a whole number.
  • Explain how you approached finding your example.
 
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