Question

The value of $\left|\begin{array}{ccc}\sqrt{6}& 2i& 3+\sqrt{6}\\ \sqrt{12}& \sqrt{3}+\sqrt{8}i& 3\sqrt{2}+\sqrt{6}i\\ \sqrt{18}& \sqrt{2}+\sqrt{12}i& \sqrt{27}+2i\end{array}\right|$

• A. an integer
  
• B. a rational number
• C. an irrational number
• D. an imaginary number

Answer 1

The correct option is A an integer


Take $\sqrt{6}$ common from $C_1$ and apply $C_3\to C_3-3C_1,C_2\to C_2-2i{C}_1$