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: 34

Answer

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

Work Step by Step

The given expression is $=\sqrt[3]{\frac{8h^4}{27}}$ Use quotient property of cube roots. $=\frac{\sqrt[3]{8h^4}}{\sqrt[3]{27}}$ Factor as cube terms. $=\frac{\sqrt[3]{8h^3\cdot h}}{\sqrt[3]{27}}$ Use prodcut property of cube roots. $=\frac{\sqrt[3]{8}\cdot\sqrt[3]{h^3}\cdot \sqrt[3]{h}}{\sqrt[3]{27}}$ Use $8=2^3$ and $27=3^3$. $=\frac{\sqrt[3]{2^3}\cdot\sqrt[3]{h^3}\cdot \sqrt[3]{h}}{\sqrt[3]{3^3}}$ Simplify. $=\frac{2h\sqrt[3]{h}}{3}$.
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.