https://file.aiquickdraw.com/mathbot/file/1727327211364vdfx4rl6.jpg

The problem in the image is asking for the solution set of the quadratic equation \(x^2 - 8 = 0\).

Let's solve it step by step:

### Step 1: Start with the equation
\[
x^2 - 8 = 0
\]

### Step 2: Isolate \(x^2\)
\[
x^2 = 8
\]

### Step 3: Take the square root of both sides
\[
x = \pm \sqrt{8}
\]

### Step 4: Simplify the square root
\[
\sqrt{8} = \sqrt{4 \times 2} = 2\sqrt{2}
\]
Thus, the solutions are:
\[
x = 2\sqrt{2} \quad \text{or} \quad x = -2\sqrt{2}
\]

### Final Solution Set:
The solution set is:
\[
\{2\sqrt{2}, -2\sqrt{2}\}
\]

This matches **option (c)** in the image.

Would you like further explanation or have any questions? 

Here are 5 related questions you might find helpful:
1. How do we simplify square roots like \(\sqrt{8}\)?
2. What are the properties of quadratic equations with real solutions?
3. What happens if the constant term in the quadratic equation changes?
4. How can we apply the quadratic formula to solve this?
5. How do we determine the nature of the roots of a quadratic equation?

**Tip:** When solving quadratic equations, always check if the expression can be factored or simplified before applying other methods.

Himpunan penyelesaian dari persamaan kuadrat x^2 - 8 = 0 adalah...

Learn how to solve the quadratic equation x^2 - 8 = 0 using square root properties. This algebraic problem explores simplifying radicals and understanding quadratic solutions. Perfect for students in Grades 8-10.

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