Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 7 - Section 7.1 - Radicals and Radical Functions - Exercise Set - Page 418: 118


the value of $\sqrt[3]{10}$ must be between $2$ and $3$

Work Step by Step

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 $3.$
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