Question

Sum of sqrt( -2) and sqrt(-18)

Answer 1

Since we have been introduced to complex numbers, we can take care of negative numbers under to square root.

The given square roots can be rewritten as

`√(-2)=√(2)i`

and

`√(-18)=√(18)i=√((2\cdot9)i)`
`(√(-18))=3√(2i)`

Therefore, the sum of these two numbers is

`√(-2)+√(-18)=3(√(2i)+)√(2i)`
`\textcolor{#FF7968}{=4√(2i)}`

which is our answer.