Question

Which of the following is equal to √-12?

Answer 1

2i√3

Step-by-step explanation: Simplify the radical by breaking the radicand up into a product of known factors.

Hope this helps! :) ~Zane

Answer 2

For this case we must find an expression equivalent to:

`\sqrt {-12}`

Then, rewriting:

`\sqrt {-1 (12)} =\\\sqrt {-1} * \sqrt {12} =`

We know that:

`i = \sqrt {-1}\\12 = 4 * 3 = 2 ^ 2 * 3`

Then we have:

`i * \sqrt {2 ^ 2 * 3} =\\i * 2 \sqrt {3} =`

Finally we have:

`2i \sqrt {3}`

Answer:
`2i \sqrt {3}`