Subjects algebra

Cube Root Simplify

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1. Simplify $\sqrt[3]{1}$: Since $1^3 = 1$, $\sqrt[3]{1} = 1$. 2. Simplify $\sqrt[3]{216}$: $216 = 6^3$, so $\sqrt[3]{216} = 6$. 3. Simplify $3\sqrt[3]{27}$: $\sqrt[3]{27} = 3$ because $3^3 = 27$. Therefore, $3 \times 3 = 9$. 4. Simplify $\sqrt[3]{729}$: $729 = 9^3$, so $\sqrt[3]{729} = 9$. 5. Simplify $\sqrt[3]{1000}$: $1000 = 10^3$, so $\sqrt[3]{1000} = 10$. 6. Simplify $\sqrt[3]{125}$: $125 = 5^3$, so $\sqrt[3]{125} = 5$. 7. Simplify $\sqrt[3]{343}$: $343 = 7^3$, so $\sqrt[3]{343} = 7$. 8. Simplify $2\sqrt[3]{8}$: $\sqrt[3]{8} = 2$ because $2^3 = 8$. Therefore, $2 \times 2 = 4$. 9. Simplify $\sqrt[3]{512}$: $512 = 8^3$, so $\sqrt[3]{512} = 8$. 10. Simplify $\sqrt[3]{64}$: $64 = 4^3$, so $\sqrt[3]{64} = 4$. Final answers: 1. 1 2. 6 3. 9 4. 9 5. 10 6. 5 7. 7 8. 4 9. 8 10. 4