The value of the determinant is (where )

MATHEMATICS · Single correct · CBSE · Mathematics · Determinants · Determinants

Problem

The value of the determinant

\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}

is (where

i = \sqrt{-1}

) (1) complex (2) real (3) irrational (4) rational