Question

Which choice is equivalent to the expression below √-12

Answer 1

Answer:

E

Step-by-step explanation:

using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$, hence

$\sqrt{-12}$

= $\sqrt{4(3)(-1)}$ = $\sqrt{4}$ × $\sqrt{3}$ × $\sqrt{-1}$ [$\sqrt{-1}$ = i]

= 2i$\sqrt{3}$ → E

Answer 2

Answer:

Step-by-step explanation:

Alright, lets get started.

The  given expression is $\sqrt{-12}$

As we know, $\sqrt{-1}$ can be written as i , so the expression would be :

$\sqrt{12i}$

Now, $\sqrt{12}$ can be written as $2\sqrt{3}$.

So, our expression will become :

$2\sqrt{3}i$

Or say

$2i\sqrt{3}$   ...    Answer option E

Hope it will help :)