How does the value of ##\displaystyle \sqrt[a]{-1}## vary as ##a## varies as any real number? When is this value complex and when is it real? For example, we know that when a = 2 it is complex, but when a = 3 it is real. What about when ##a = \pi##, for example?(adsbygoogle = window.adsbygoogle || []).push({});

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# I Definition of the root of -1 for different roots

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