Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 9 - Solving Quadratic Equations - 9.1 - Properties of Radicals - Exercises - Page 486: 42

Answer

$\frac{\sqrt[3] {16}}{\sqrt[3] {16}}$

Work Step by Step

Appropriate form of $1$ that can be used as a factor to eliminate the radical in the denominator is $\frac{\sqrt[3] {16}}{\sqrt[3] {16}}$. The denominator then becomes $\sqrt[3] {4}\cdot \sqrt[3] {16}=\sqrt[3] {4^{3}}=4$ and the radical is eliminated. $\dfrac{3m}{\sqrt[3]4}=\dfrac{3m}{\sqrt[3]4}\times \frac{\sqrt[3]{4^2}}{\sqrt[3]{4^2}}=\frac{3m\sqrt[3]{16}}{4}$
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