If the value of the determinant \[ \left|\begin{array}{ccc} \sqrt{(13)}+\sqrt{3} & 2 \sqrt{5} & ...

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If the value of the determinant
\[
\left|\begin{array}{ccc}
\sqrt{(13)}+\sqrt{3} & 2 \sqrt{5} & \sqrt{5} \\
\sqrt{(15)}+\sqrt{(26)} & 5 & \sqrt{(10)} \\
3+\sqrt{(65)} & \sqrt{(15)} & 5
\end{array}\right|
\]
\( =a(\sqrt{b})(c-\sqrt{6})(a, b, c \in I) \) then \( a+b+c \) is
(a) 1
(b) 2
(c) 3
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