Question 1126872
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<pre>
{{{(2-sqrt(5))^8*(2+sqrt(5))^8}}} = {{{((2-sqrt(5))*(2+sqrt(5)))^8}}} = {{{(2^2 - (sqrt(5))^2)^8}}} = {{{(4-5)^8}}} = {{{(-1)^8}}} = 1.
</pre>

Solved.