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The problem given is:

\[
\sqrt{x - 18} = 6
\]

Let's solve it step by step:

1. **Square both sides** to eliminate the square root:
   \[
   (\sqrt{x - 18})^2 = 6^2
   \]
   \[
   x - 18 = 36
   \]

2. **Solve for \( x \)** by adding 18 to both sides:
   \[
   x = 36 + 18
   \]
   \[
   x = 54
   \]

Thus, the solution is \( x = 54 \), which matches the provided answer in the box.

Do you have any questions or would you like more details?

Here are 5 related questions for further practice:
1. What happens if we have \(\sqrt{x - 10} = 8\)? What is \(x\)?
2. Solve \(\sqrt{3x + 5} = 7\).
3. If \(\sqrt{x + 4} = 5\), what is the value of \(x\)?
4. How would you solve \( \sqrt{2x - 9} = 3\)?
5. What is the difference in solving \( \sqrt{x - 12} = -5 \)?

**Tip:** Always check the solutions to square root equations by plugging them back into the original equation to avoid extraneous solutions.

This problem focuses on solving the square root equation sqrt(x - 18) = 6 by squaring both sides and solving for x. Follow the detailed steps to understand the key concepts and techniques involved in solving square root equations.

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