Subjects algebra

Simplify Radical 89A012

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1. **State the problem:** Simplify the radical expression $\sqrt{24}$. 2. **Recall the rule:** To simplify a square root, factor the number inside into perfect squares and other factors. Use the property $\sqrt{a \times b} = \sqrt{a} \times \sqrt{b}$. 3. **Factor 24:** $24 = 4 \times 6$. 4. **Apply the property:** $$\sqrt{24} = \sqrt{4 \times 6} = \sqrt{4} \times \sqrt{6}$$ 5. **Simplify the perfect square:** $\sqrt{4} = 2$, so $$\sqrt{24} = 2 \times \sqrt{6} = 2\sqrt{6}$$ 6. **Final answer:** $2\sqrt{6}$ is the simplified form of $\sqrt{24}$.