# 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