Question

What is the sum of the √-2 and √ -18?

Answer 1

The Solution:

We are required to find the sum of

`\sqrt[]{-2}\text{ and }\sqrt[]{-18}`

This also means that we should simplify

`\sqrt[]{-2}+\sqrt[]{-18}`
`\begin{gathered} \sqrt[]{-2}+\sqrt[]{-18}=\sqrt[]{-1}*\sqrt[]{2}+\sqrt[]{-1}*\sqrt[]{18} \\ \\ =i\sqrt[]{2}+i\sqrt[]{9*2} \\ \\ =\sqrt[]{2i}+3\sqrt[]{2i} \\ =4\sqrt[]{2i} \end{gathered}`

Therefore, the correct answer is option 2