Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 10 - Exponents and Radicals - 10.5 Expressions Containing Several Radical Terms - 10.5 Exercise Set - Page 661: 102



Work Step by Step

In order to solve this problem, we may need to use the rules of radicals. Once we have done this, we combine like radicals. Doing this, we find that the expression simplifies to: $$ \left(r-s^{\frac{3}{4}}\right)\left(3r-s^{\frac{1}{5}}\right)\\ r\cdot \:3r+r\left(-s^{\frac{1}{5}}\right)+\left(-s^{\frac{3}{4}}\right)\cdot \:3r+\left(-s^{\frac{3}{4}}\right)\left(-s^{\frac{1}{5}}\right)\\ 3r^2-rs^{\frac{1}{5}}-3rs^{\frac{3}{4}}+s^{\frac{19}{20}}$$
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