Solve the following equation by the square root method. \( (2 y+8)^{2}=64 \) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is \( \} \) (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) B. There is no solution.

To solve the equation \((2y + 8)^2 = 64\) using the square root method, follow these steps: 1. **Take the square root of both sides:** \[ \sqrt{(2y + 8)^2} = \sqrt{64} \] This simplifies to: \[ 2y + 8 = \pm 8 \] 2. **Solve for \( y \) in both cases:** - **Case 1:** \( 2y + 8 = 8 \) \[ 2y = 8 - 8 \] \[ 2y = 0 \] \[ y = 0 \] - **Case 2:** \( 2y + 8 = -8 \) \[ 2y = -8 - 8 \] \[ 2y = -16 \] \[ y = -8 \] 3. **Solution Set:** The solutions are \( y = 0 \) and \( y = -8 \). **Therefore, the correct choice is:** **A. The solution set is \{-8, 0\}**