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We are asked to solve the quadratic equation \( 2x^2 = 8 \) using the square root property.

### Steps to solve:

1. **Divide by 2**:
   \[
   x^2 = \frac{8}{2} = 4
   \]

2. **Apply the square root property**:
   The square root property tells us that if \( x^2 = a \), then \( x = \pm \sqrt{a} \). 
   \[
   x = \pm \sqrt{4}
   \]

3. **Simplify the square root**:
   \[
   x = \pm 2
   \]

Thus, the solution set is:
\[
x = -2, 2
\]

### Final Answer:
The solution set is \( \{-2, 2\} \).

Would you like more details, or do you have any other questions? 

Here are five related questions you might find helpful:
1. How do you solve quadratic equations using the quadratic formula?
2. What are the methods to solve quadratic equations apart from the square root property?
3. Can every quadratic equation be solved using the square root method?
4. What does it mean geometrically when solving \( x^2 = a \)?
5. How do you handle complex numbers in square roots for negative solutions?

**Tip:** When solving quadratic equations, always simplify the equation first to see if using the square root property is the most efficient method!

Solve the quadratic equation by the square root property: 2x^2 = 8

Learn how to solve the quadratic equation 2x^2 = 8 step-by-step using the square root property. This problem demonstrates the application of the square root property in algebra, suitable for students in Grades 7-10.

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