1. **State the problem:** Simplify the expression $$24^{\frac{1}{3}}$$, which means finding the cube root of 24. 2. **Recall the formula:** For any positive number $a$ and rational exponent $\frac{m}{n}$, $$a^{\frac{m}{n}} = \sqrt[n]{a^m} = (\sqrt[n]{a})^m$$. 3. **Apply the formula:** Here, $m=1$ and $n=3$, so $$24^{\frac{1}{3}} = \sqrt[3]{24}$$. 4. **Factor 24 to simplify the cube root:** $$24 = 8 \times 3$$. 5. **Use the property of roots:** $$\sqrt[3]{24} = \sqrt[3]{8 \times 3} = \sqrt[3]{8} \times \sqrt[3]{3}$$. 6. **Simplify the cube root of 8:** Since $8 = 2^3$, $$\sqrt[3]{8} = 2$$. 7. **Write the simplified form:** $$\sqrt[3]{24} = 2 \times \sqrt[3]{3} = 2 \sqrt[3]{3}$$. **Final answer:** $$24^{\frac{1}{3}} = 2 \sqrt[3]{3}$$. This matches the choice **2 ∛3** in the multiple choice options.