Answer:
[tex]4i \sqrt{6} [/tex]
Step-by-step explanation:
Step One
We need to simplify the radical by breaking up the radicand into a product of known factors that are positive real numbers.
[tex] \sqrt{ - 96} [/tex] becomes
[tex] \sqrt{16} \times \sqrt{6} [/tex]
Step Two
After simplifying the products, we get
[tex]4 \sqrt{6} [/tex].
[tex]4 \sqrt{6} [/tex] is just the square root of 96 simplified so we need to use the coefficient i. i is the square root of -1, and the square root of 96 times i is the square root of 96, so we just need to multiply i in the coefficient.
That leaves us with [tex]4i \sqrt{6} [/tex].
