Question

Write in terms of i. Simplify your answer as much as possible. ✓-96

Answer 1

Answer:

$4i \sqrt{6}$

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.

$\sqrt{ - 96}$ becomes

$\sqrt{16} \times \sqrt{6}$

Step Two

After simplifying the products, we get

$4 \sqrt{6}$.

$4 \sqrt{6}$ 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 $4i \sqrt{6}$.