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Root versus RadicalsQ: Version 5 returns the eigenvalues of the following simple matrix in terms of Root objects.
What does this output mean? I prefer the explicit answer that Version 4 returned. How do I coerce Version 5 to return an explicit answer? A: Daniel Lichtblau (danl@wolfram.com) answers: The Root form is a concise way of expressing algebraic numbers via the minimal polynomial they satisfy, along with a canonical ordering in the complex plane (specified by the second argument of Root). To get a radical form, you can use ToRadicals.
Clearly, this output is more complicated than the Root form.
In addition to size, there are other reasons to prefer the Root form:
So, one can avoid the Root form by using ToRadicalsbut for all practical computation, you are better off working with Root objects.


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