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
For this case we must find an expression equivalent to:
[tex]\sqrt {-12}[/tex]
Then, rewriting:
[tex]\sqrt {-1 (12)} =\\\sqrt {-1} * \sqrt {12} =[/tex]
We know that:
[tex]i = \sqrt {-1}\\12 = 4 * 3 = 2 ^ 2 * 3[/tex]
Then we have:
[tex]i * \sqrt {2 ^ 2 * 3} =\\i * 2 \sqrt {3} =[/tex]
Finally we have:
[tex]2i \sqrt {3}[/tex]
Answer:[tex]2i \sqrt {3}[/tex]
