Question

Use the square root method to solve the equation.
y squaredminus8equals0
Question content area bottom
Part 1
A.4
4
B.plus or minus 2 StartRoot 2 EndRoot
plus or minus2StartRoot 2 EndRoot
C.2 StartRoot 2 EndRoot
2StartRoot 2 EndRoot
D.64
64

Answer 1

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.** \( \pm 2\sqrt{2} \)