Y by Adventure10, Mango247
Find the value of the sum
![$\sqrt[3]{\cos{\frac{2\pi}{7}}} + \sqrt[3]{\cos\frac{4\pi}{7}} + \sqrt[3]{\cos\frac{6\pi}{7}}$](//latex.artofproblemsolving.com/0/3/4/034f5ed03962289bbdf3b92741dbe41666c6fbb1.png)
the solution I know is a bit ugly. Well, if you take to long to make it I post it.
![$\sqrt[3]{\cos{\frac{2\pi}{7}}} + \sqrt[3]{\cos\frac{4\pi}{7}} + \sqrt[3]{\cos\frac{6\pi}{7}}$](http://latex.artofproblemsolving.com/0/3/4/034f5ed03962289bbdf3b92741dbe41666c6fbb1.png)
the solution I know is a bit ugly. Well, if you take to long to make it I post it.
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