Question 1128590
.
<pre>
x^2 = {{{3 + 2*sqrt(2)}}} + {{{3-2*sqrt(2)}}} + {{{2*sqrt(3 + 2*sqrt(2))*sqrt(3 - 2*sqrt(2))}}} = {{{6 + 2*sqrt((3 + 2*sqrt(2))*(3 - 2*sqrt(2)))}}} = 


= {{{6 + 2*sqrt((3^2 - (2*sqrt(2))^2))}}} = {{{6 + 2*sqrt(9-4*2)}}} = {{{6 + 2*sqrt(1)}}} = 6 + 2 = 8.
</pre>