The Solution:
We are required to find the sum of
[tex]\sqrt[]{-2}\text{ and }\sqrt[]{-18}[/tex]
This also means that we should simplify
[tex]\sqrt[]{-2}+\sqrt[]{-18}[/tex][tex]\begin{gathered} \sqrt[]{-2}+\sqrt[]{-18}=\sqrt[]{-1}\times\sqrt[]{2}+\sqrt[]{-1}\times\sqrt[]{18} \\ \\ =i\sqrt[]{2}+i\sqrt[]{9\times2} \\ \\ =\sqrt[]{2i}+3\sqrt[]{2i} \\ =4\sqrt[]{2i} \end{gathered}[/tex]
Therefore, the correct answer is option 2
