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: 32

Answer

$-7\sqrt[3]{n^2}$.

Work Step by Step

The given expression is $=-\sqrt[3]{343n^2}$ Factor as cube terms. $=-\sqrt[3]{343\cdot n^2}$ Use product property of cube roots. $=-\sqrt[3]{343}\cdot \sqrt[3]{n^2}$ Use $343=7^3$. $=-\sqrt[3]{7^3}\cdot \sqrt[3]{n^2}$ Simplify. $=-7\sqrt[3]{n^2}$.
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