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 - 9.1-9.3 - Quiz - Page 504: 3

Answer

$-5 \sqrt[3]{5}$

Work Step by Step

The given expression is $=\sqrt[3]{-625}$ Factor as cube term. $=\sqrt[3]{-125\cdot 5}$ Use $-125=(-5)^3$. $=\sqrt[3]{(-5)^3\cdot 5}$ Use product property of cube roots. $=\sqrt[3]{(-5)^3}\cdot \sqrt[3]{5}$ Simplify. $=-5 \sqrt[3]{5}$
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