Writing a Finite Polynomial for (k)1/2 in Math | Real Numbers

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It is impossible to express (k)1/2, or √k, as a finite polynomial in k over the set of real numbers where k is greater than 0. The discussion emphasizes that despite some claims, this mathematical expression cannot be represented as a polynomial. Participants reiterated the impossibility of such a representation, leading to a consensus on the topic. The thread concluded without further elaboration on alternative methods or approaches. The conversation highlights a fundamental limitation in polynomial representation of square roots.
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I need to write, (k)1/2= a finite term polynomial of 'k' where 'k' is the set of all Reals where 'k' is greater than 0 in math.

Thanks!
 
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You can't write \sqrt{k} as a polynomial in k over \mathbb{R}.
 
disregardthat said:
You can't write \sqrt{k} as a polynomial in k over \mathbb{R}.

That is interesting because you can, but that isn't the question. How do I go from my statement to 'math'.
 
disregardthat said:
You can't write \sqrt{k} as a polynomial in k over \mathbb{R}.

This.

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