MODERATE EXERCISES-Square Roots and Other Radicals

(1) True or false:

  1. = x, for all x

  2. , for all x

  3. , if n is odd
HINT: For (a), examine the properties of nth roots.
For (b), consider what you know about the properties of square roots, and more important, what is not a property of square roots.
For (c), try to determine a pattern by using different choices for n odd.


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