Question

Which choice is equivalent to the expression below √-12

Answer 1

Explanation:

Alright, lets get started.

The given expression is
`√(-12)`

As we know,
`√(-1)` can be written as i , so the expression would be :

`√(12i)`

Now,
`√(12)` can be written as
`2√(3)`.

So, our expression will become :

`2√(3)i`

Or say

`2i√(3)` ... Answer option E

Hope it will help :)

Answer 2

E

Explanation:

using the rule of radicals

`√(a)` ×
`√(b)` ⇔
`√(ab)`, hence

`√(-12)`

=
`√(4(3)(-1))` =
`√(4)` ×
`√(3)` ×
`√(-1)` [
`√(-1)` = i]

= 2i
`√(3)` → E