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If b and c are positive integers such that (11+bc)^{1/2} +

If b and c are positive integers such that \(\sqrt{11+bc} + \sqrt{11-bc}=6\)
where \(b\sqrt{c}\) is in simplest radical form, what is the value of \(b^{2}c\)?

(A) 72
(B) 76
(C) 80
(D) 82
(E) 90

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