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Mathematics
Problem
The value of the determinant
∣
6
2
i
3
+
6
i
12
3
+
8
i
3
2
+
6
i
18
2
+
12
i
27
+
2
i
∣
\begin{vmatrix} \sqrt{6} & 2i & 3 + \sqrt{6}i \\ \sqrt{12} & \sqrt{3} + \sqrt{8}i & 3\sqrt{2} + \sqrt{6}i \\ \sqrt{18} & \sqrt{2} + \sqrt{12}i & \sqrt{27} + 2i \end{vmatrix}
6
12
18
2
i
3
+
8
i
2
+
12
i
3
+
6
i
3
2
+
6
i
27
+
2
i
is (where
i
=
−
1
i = \sqrt{-1}
i
=
−
1
) a. complex b. real c. irrational d. rational
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