Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 10 - Section 10.5 - Rationalizing Numerators and Denominators of Radical Expressions - Practice: 10

Answer

$\frac{3a}{\sqrt[3] {63a^{2}b}}$

Work Step by Step

$\frac{\sqrt[3] {3a}}{\sqrt[3] {7b}}\times\frac{\sqrt[3] {9a^{2}}}{\sqrt[3] {9a^{2}}}$ =$\frac{\sqrt[3] {3a}\times \sqrt[3] {9a^{2}}}{\sqrt[3] {7b}\times\sqrt[3] {9a^{2}}}$ =$\frac{\sqrt[3] {3a\times9a^{2}}}{\sqrt[3] {7b\times9a^{2}}}$ =$\frac{\sqrt[3] {27a^{3}}}{\sqrt[3] {63a^{2}b}}$ =$\frac{3a}{\sqrt[3] {63a^{2}b}}$
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