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: 46

Answer

$-2$

Work Step by Step

Using $(a+b)(a-b)=a^2-b^2$, or the product of the sum and difference of like terms, and the properties of radicals, the given expression, $ (3+\sqrt{11})(3-\sqrt{11}) ,$ is equivalent to \begin{array}{l}\require{cancel} 3^2-(\sqrt{11})^2 \\\\= 9-11 \\\\= -2 .\end{array}
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