To simplify $\sqrt{18}$, we need to factor the number inside the square root into prime factors.

Step 1: Find the prime factorization of 18.

$18 = 2 \times 3^2$

Step 2: Simplify the square root.

We can separate the square root into two parts: $\sqrt{18} = \sqrt{2 \times 3^2}$ $\sqrt{18} = \sqrt{2} \times \sqrt{3^2}$ Since $\sqrt{3^2} = 3$, we have: $\sqrt{18} = 3\sqrt{2}$

Final Answer:

$\sqrt{18} = 3\sqrt{2}$

Would you like more details on this process or have any further questions?

Here are five related questions:

1. How do you simplify square roots with higher powers, like $\sqrt{72}$?
2. What is the square root of 50 simplified?
3. Can the square root of non-perfect squares always be simplified?
4. How can you determine if a number is a perfect square?
5. What are some techniques for simplifying cube roots or other higher roots?

Tip: When simplifying square roots, always look for perfect squares inside the root, as they can be simplified easily.