Chaitanya's Random Pages

July 22, 2010

A beautiful mathematical equality

Filed under: mathematics — ckrao @ 10:31 am

Here is an equality worth sharing, found at the CTK Insights blog here.

\sqrt[3]{2 + \sqrt{5}} = \frac{1+\sqrt{5}}{2}

I love the observation by Osler in [1] that the above number is constructible while the seemingly simpler \sqrt[3]{2} is not.

Reference:
[1] T. J. Osler, Cardan Polynomials and the Reduction of Radicals, Math Magazine, Vol. 74, No. 1 (Feb. 2001), pp. 26-32

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