College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter R - Section R.7 - Radical Expressions - R.7 Exercises - Page 68: 78

Answer

$3$

Work Step by Step

$\bf{\text{Solution Outline:}}$ To simplify the given expression, $ (\sqrt{5}+\sqrt{2})(\sqrt{5}-\sqrt{2}) ,$ use the special product on multiplying the sum and difference of like terms. $\bf{\text{Solution Details:}}$ Using the product of the sum and difference of like terms which is given by $(a+b)(a-b)=a^2-b^2,$ the expression above is equivalent \begin{array}{l}\require{cancel} (\sqrt{5})^2-(\sqrt{2})^2 \\\\= 5-2 \\\\= 3 .\end{array}
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