Problem calculating an expression with roots

02032015, 01:28 PM
(This post was last modified: 02032015 01:29 PM by retoa.)
Post: #29




RE: Problem calculating an expression with roots
(02032015 11:59 AM)Snorre Wrote: If you enter it as ³√(8) you'll get 2. That with \( \sqrt[3](8) \) the answer is 2 is quite clear. I tried \( \sqrt[1/3](2) \) in both home and CAS in CAS the answer is 8 in home (complex) it is 8.000000000027.58171027068E11*i, so the imaginary part is almost zero. As the imaginary part is not exactly zero the answer is not real and can not be displayed in real mode. I don't know if the Prime tries to calculate it and comes to a non real answer or it avoid calculating it, the error is "Error: (X<0)^(not in Z)". Actually the exponent is 3 and is in Z. I know it does not make much sense to use \( \sqrt[1/3](2) \) instead of (2)^3, but it is interesting to see that in home it comes to a complex approximation of a real number (natural number actually). Regards reto 

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