Question 936409
{{{A=5C}}}
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{{{sqrt(A)+sqrt(C)=8sqrt(2)}}}
{{{sqrt(5C)+sqrt(C)=8sqrt(2)}}}
{{{(sqrt(5)+1)sqrt(C)=8sqrt(2)}}}
{{{sqrt(C)=8sqrt(2)/(sqrt(5)+1)}}}
{{{C=128/(1+sqrt(5))^2=16(3-sqrt(5))}}}
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This does not come out to an integer value. 
Please check your problem setup and repost.