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: 33

Answer

$-\frac{\sqrt[3]{6c}}{5}$.

Work Step by Step

The given expression is $=\sqrt[3]{\frac{6c}{-125}}$ Use quotient property of cube roots. $=\frac{\sqrt[3]{6c}}{\sqrt[3]{-125}}$ Use $-125=(-5)^3$. $=\frac{\sqrt[3]{6c}}{\sqrt[3]{(-5)^3}}$ Simplify. $=\frac{\sqrt[3]{6c}}{-5}$ $=-\frac{\sqrt[3]{6c}}{5}$.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.