The value of the determinant $\left| {\begin{array}{*{20}{c}} {\sqrt {13} + \sqrt 3 }&{2\sqrt 5 }&{\sqrt 5 }\ {\sqrt {15} + \sqrt {26} }&5&{\sqrt {10} }\ {3 + \sqrt {65} }&{\sqrt {15} }&5 \end{array}} \right|$ is

Question

The value of the determinant $\left| {\begin{array}{*{20}{c}} {\sqrt {13} + \sqrt 3 }&{2\sqrt 5 }&{\sqrt 5 }\ {\sqrt {15} + \sqrt {26} }&5&{\sqrt {10} }\ {3 + \sqrt {65} }&{\sqrt {15} }&5 \end{array}} \right|$ is

TuteeHUB · Accepted Answer

$5\sqrt 3$

TuteeHUB · Answer

5

TuteeHUB · Answer

$5\sqrt 3 \left( {\sqrt 6 - 5} \right)$

TuteeHUB · Answer

$5\sqrt 3 \left( {\sqrt 6 + 5} \right)$

1.	The value of the determinant \(\left\| {\begin{array}{*{20}{c}} {\sqrt {13} + \sqrt 3 }&{2\sqrt 5 }&{\sqrt 5 }\\ {\sqrt {15} + \sqrt {26} }&5&{\sqrt {10} }\\ {3 + \sqrt {65} }&{\sqrt {15} }&5 \end{array}} \right\|\) is
A.	5
B.	\(5\sqrt 3 \left( {\sqrt 6 - 5} \right)\)
C.	\(5\sqrt 3\)
D.	\(5\sqrt 3 \left( {\sqrt 6 + 5} \right)\)
Answer» C. \(5\sqrt 3\)

The value of the determinant \(\left| {\begin{array}{*{20}{c}} {\sqrt {13} + \sqrt 3 }&{2\sqrt 5 }&{\sqrt 5 }\\ {\sqrt {15} + \sqrt {26} }&5&{\sqrt {10} }\\ {3 + \sqrt {65} }&{\sqrt {15} }&5 \end{array}} \right|\) is

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