SOLUTION: Is checking essential when the principle of powers is used with an odd power n? (text book)

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Question 379934: Is checking essential when the principle of powers is used with an odd power n?
(text book)
Answer by jim_thompson5910(35256) About Me  (Show Source):
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If you're referring to root%28n%2Cx%29=x when n is odd, the answer is no. In other words, it's not essential, but it's always a good idea to check. Why isn't checking needed? Because the domain of root%28n%2Cx%29 is the set of all real numbers when n is odd, which means that no extraneous solutions will occur when n is odd. Despite the fact that checking isn't essential, checking your answers is a good habit.


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