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 - Monitoring Progress - Page 481: 9

Answer

$3 \sqrt[3]{2}$.

Work Step by Step

The given expression is $=\sqrt[3]{54}$ Factor as cube terms. $=\sqrt[3]{27\cdot 2}$ Use product property of cube roots. $=\sqrt[3]{27}\cdot \sqrt[3]{2}$ Use $27=3^3$. $=\sqrt[3]{3^3}\cdot \sqrt[3]{2}$ Simplify. $=3 \sqrt[3]{2}$.
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