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Comparing and Ordering Radicals

Directions: Using the digits 1-9 at most one time each, create a sequence that is in numerical order and cannot be simplified anymore.



How are radicals simplified to get the index? What does that index represent?



More than one answer. One possible is 3sqr(7), 8sqr(2), 5sqr(6)

The reasoning and approach would be of real interest and a comparison amongst student answers.

Source: Phillip Haislip-Hansberry

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One comment

  1. Not sure I agree with the word ‘sequence’ here. Doesn’t sequence usually imply that there is a pattern to get the next term?

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