Find $\sqrt[3]{-64}$
Find $\sqrt[3]{-343}$
Simplify $\sqrt[3]{-1728}$
Simplify $\sqrt[3]{8 \times 125}$
Simplify $\sqrt[3]{27 \times 64}$
Find $\sqrt[3]{216 \times 125}$
Simplify $\sqrt[3]{1000 \times 343}$
Simplify $\sqrt[3]{108 \div 4}$
Simplify $\sqrt[3]{2197 \div 9261}$
Simplify $\sqrt[3]{512 \div 8}$
Find $\sqrt[3]{-64}$
Explanation: To find the cube root of a negative number, find the cube root of the positive version and then add the negative sign. Since $4 \times 4 \times 4 = 64$, the cube root of $-64$ is $-4$.
Find $\sqrt[3]{-343}$
Explanation: Identify which number multiplied by itself three times equals $343$. Since $7^3 = 343$, the answer is $-7$.
Simplify $\sqrt[3]{-1728}$
Explanation: You can use prime factorization or recognize that $12^3 = 1728$. Because the radicand is negative, the result is $-12$.
Simplify $\sqrt[3]{8 \times 125}$
Explanation: Use the property $\sqrt[3]{a \times b} = \sqrt[3]{a} \times \sqrt[3]{b}$. This becomes $2 \times 5$, which equals $10$.
Simplify $\sqrt[3]{27 \times 64}$
Explanation: Break it down into $\sqrt[3]{27} \times \sqrt[3]{64}$. This results in $3 \times 4$, which equals $12$.
Find $\sqrt[3]{216 \times 125}$
Explanation: Separately find the cube roots: $\sqrt[3]{216} = 6$ and $\sqrt[3]{125} = 5$. Multiply them ($6 \times 5$) to get $30$.
Simplify $\sqrt[3]{1000 \times 343}$
Explanation: Calculate $\sqrt[3]{1000} = 10$ and $\sqrt[3]{343} = 7$. Multiplying these gives $70$.
Simplify $\sqrt[3]{108 \div 4}$
Explanation: First, perform the division inside the radical. $108 \div 4 = 27$. Then, find $\sqrt[3]{27}$, which is $3$.
Simplify $\sqrt[3]{2197 \div 9261}$
Explanation: Treat this as $\frac{\sqrt[3]{2197}}{\sqrt[3]{9261}}$. The cube root of $2197$ is $13$ and the cube root of $9261$ is $21$, resulting in the fraction $\frac{13}{21}$.
Simplify $\sqrt[3]{512 \div 8}$
Explanation: Divide $512$ by $8$ to get $64$. The cube root of $64$ is $4$.