## Intermediate Algebra (6th Edition)

the value of $\sqrt[3]{10}$ must be between $2$ and $3$
The value of $\sqrt[3]{10}$ is definitely not equal to $3.2,$ because $3.2^3$ is greater than $3^3$ (which is equal to $27.$) This not close to $10.$ Also, the value of $\sqrt[3]{10}$ is between the value of $\sqrt[3]{8}$ and $\sqrt[3]{27}$. So the value of $\sqrt[3]{10}$ must be between $2$ and $3.$