document.write( "Question 379934: Is checking essential when the principle of powers is used with an odd power n?
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Algebra.Com's Answer #269694 by jim_thompson5910(35256) $\"\"$ $\"About$

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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.\r
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