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: 41

Answer

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

Work Step by Step

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