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Cube root of -1 and 1

  • To: mathgroup at smc.vnet.net
  • Subject: [mg90875] Cube root of -1 and 1
  • From: Bob F <deepyogurt at gmail.com>
  • Date: Sun, 27 Jul 2008 02:32:16 -0400 (EDT)

Could someone explain why Mathematica evaluates these so differently?

In[53]:=

(Sqrt[36] - 7)^(1/3)
(Sqrt[36] - 5)^(1/3)

Out[53]= (-1)^(1/3)

Out[54]= 1

In other words why isn't (-1)^1/3 expressed as -1 ??

Thanks...

-Bob


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