Question

Which of the following is equal to √-12?

Answer 1

Answer:

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:$2i \sqrt {3}$