SOLUTION: Simplify: (2-sqrt(5))^8×(2+sqrt(5))^8

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Question 1126872: Simplify: (2-sqrt(5))^8×(2+sqrt(5))^8
Answer by ikleyn(52879) About Me  (Show Source):
You can put this solution on YOUR website!
.
%282-sqrt%285%29%29%5E8%2A%282%2Bsqrt%285%29%29%5E8 = %28%282-sqrt%285%29%29%2A%282%2Bsqrt%285%29%29%29%5E8 = %282%5E2+-+%28sqrt%285%29%29%5E2%29%5E8 = %284-5%29%5E8 = %28-1%29%5E8 = 1.

Solved.