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: 53

Answer

$\frac{4\sqrt[3]{5}}{5}$

Work Step by Step

The given expression is $=\frac{4}{\sqrt[3]{25}}$ Multiply by $\frac{\sqrt[3]{5}}{\sqrt[3]{5}}$. $=\frac{4}{\sqrt[3]{25}} \cdot \frac{\sqrt[3]{5}}{\sqrt[3]{5}}$ Use product property of cube roots. $=\frac{4\sqrt[3]{5}}{\sqrt[3]{25\cdot 5}}$ Simplify. $=\frac{4\sqrt[3]{5}}{\sqrt[3]{5^3}}$ $=\frac{4\sqrt[3]{5}}{5}$
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