Question

What’s the answer to this ?

Answer 1

Option B:

Sum of
`√(-2)` and
`√(-18)` is
`4√(2)i`.

Solution:

Given data:

`√(-2)` and
`√(-18)`

To find the sum of
`√(-2)` and
`√(-18)`.

Sum of
`√(-2)` and
`√(-18)`

`=√(-2) +√(-18)`

`=√(-2) +√(-2* 9)`

`=√(-2) +√(-2* 3^2)`

`=√(-2) +3√(-2)`

`=√(-1* 2) +3√(-1*2)`

The value of
`√(-1) =i`.

`=√(2)i +3√(2)i`

`=4√(2)i` (add the coefficient of √2i, i.e. (3 + 1 = 4))

Sum of
`√(-2)` and
`√(-18)` is
`4√(2)i`.

Option B is the correct answer.