Problem #112
Rooted Sums
Find the answer to the following summation:
\sqrt[5]{\frac{11+5\sqrt{5}}{2}} + \sqrt[8]{\frac{47+21\sqrt{5}}{2}} + \sqrt[6]{\frac{18+8\sqrt{5}}{2}} - \sqrt[16]{\frac{2207-987\sqrt{5}}{2}} -
\sqrt[22]{\frac{39603-17711\sqrt{5}}{2}} + \sqrt[11]{\frac{199+89\sqrt{5}}{2}} + \sqrt[30]{\frac{1860498-832040\sqrt{5}}{2}} +
\sqrt[13]{\frac{521+233\sqrt{5}}{2}} - \sqrt[12]{\frac{322-144\sqrt{5}}{2}} - \sqrt[10]{\frac{123-55\sqrt{5}}{2}} - \sqrt[26]{\frac{271443-121393\sqrt{5}}{2}}
Let the answer be x. Submit the answer as \lfloor x \times 1000000000 \rfloor