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 1-10 - Cumulative Review - Page 696: 22

Answer

$$=3\sqrt{5}-1$$

Work Step by Step

Simplifying the expression using the rules of radicals, we find: $$ \left(1+\sqrt{5}\right)\left(4-\sqrt{5}\right)\\ 1\cdot \:4+1\cdot \left(-\sqrt{5}\right)+\sqrt{5}\cdot \:4+\sqrt{5}\left(-\sqrt{5}\right)\\ =3\sqrt{5}-1$$
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