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 485: 30

Answer

$-3\sqrt[3]{4}$.

Work Step by Step

The given expression is $=\sqrt[3]{-108}$ Factor as cube terms. $=\sqrt[3]{-27\cdot 4}$ Use product property of cube roots. $=\sqrt[3]{-27}\cdot \sqrt[3]{4}$ Use $-27=(-3)^3$. $=\sqrt[3]{(-3)^3}\cdot \sqrt[3]{4}$ Simplify. $=-3\sqrt[3]{4}$.
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