1. The problem is to simplify the expression $\sqrt[2]{18}$, which is the square root of 18. 2. Recall the property of square roots: $\sqrt{a \times b} = \sqrt{a} \times \sqrt{b}$. 3. Factor 18 into its prime factors: $18 = 9 \times 2$. 4. Apply the square root property: $$\sqrt{18} = \sqrt{9 \times 2} = \sqrt{9} \times \sqrt{2}$$ 5. Since $\sqrt{9} = 3$, substitute this back: $$3 \times \sqrt{2}$$ 6. Therefore, the simplified form of $\sqrt{18}$ is $3\sqrt{2}$.