To solve the equation \( y^2 - 8 = 0 \) using the square root method, we first isolate \( y^2 \):
\[ y^2 = 8 \]
Next, we take the square root of both sides. Remember, when taking the square root, we consider both the positive and negative roots:
\[ y = \pm \sqrt{8} \]
We can simplify \( \sqrt{8} \):
\[ \sqrt{8} = \sqrt{4 \cdot 2} = \sqrt{4} \cdot \sqrt{2} = 2\sqrt{2} \]
Thus, the solutions for \( y \) are:
\[ y = \pm 2\sqrt{2} \]
So the correct answer is:
B. \( \pm 2\sqrt{2} \)
1 answer