## Solving the Equation (x + 3)^2 = 8

This equation involves a squared term, so we need to use the square root property to solve for *x*. Here's how to do it:

### Step 1: Isolate the Squared Term

The squared term is already isolated on the left side of the equation.

### Step 2: Take the Square Root of Both Sides

Taking the square root of both sides will eliminate the square on the left side:

√[(x + 3)^2] = ±√8

**Remember:** When taking the square root of both sides, we need to consider both positive and negative solutions.

### Step 3: Simplify

**Simplify the left side:**√[(x + 3)^2] = x + 3**Simplify the right side:**√8 = √(4 * 2) = 2√2

This gives us:

x + 3 = ±2√2

### Step 4: Solve for *x*

Subtract 3 from both sides to isolate *x*:

x = -3 ± 2√2

### Solutions

Therefore, the solutions to the equation (x + 3)^2 = 8 are:

**x = -3 + 2√2****x = -3 - 2√2**