1. The problem is to simplify the expression $\sqrt[3]{12}$. 2. The cube root of a number $a$ is a value $b$ such that $b^3 = a$. 3. First, factorize 12 into its prime factors: $$12 = 2^2 \times 3$$ 4. Rewrite the cube root using these factors: $$\sqrt[3]{12} = \sqrt[3]{2^2 \times 3}$$ 5. Since neither $2^2$ nor $3$ is a perfect cube, we cannot simplify further by extracting cube roots of perfect cubes. 6. Therefore, the simplified form remains: $$\sqrt[3]{12}$$ 7. Alternatively, approximate the value: $$\sqrt[3]{12} \approx 2.289$$ This is the simplest exact form and its approximate decimal value.