Question

take the square root of both sides to get the solutions

\text{ } \pm \text{ } \sqrt{2}i

Explanation:

Step1: Identify the equation

Assume the previous step was \((x + 3)^2 = -8\).

Step2: Take the square root

$$x + 3 = \pm \sqrt{-8}$$

Step3: Simplify the radical

$$x + 3 = \pm 2\sqrt{2}i$$

Step4: Solve for x

$$x = -3 \pm 2\sqrt{2}i$$

Answer:

\(x = -3 \pm 2\sqrt{2}i\)