Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 7 - Section 7.5 - Multiplying with More Than One Term and Rationalizing Denominators - Exercise Set - Page 551: 127

Answer

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Work Step by Step

Conjugates are multiplied in the same way multiplication is done for any binomials. The following formula can be used to multiply any two conjugates. $$(A+B)(A-B) = A^2-B^2$$ Example: $$(3-\sqrt 7)(3+\sqrt 7)=3^2-(\sqrt 7)^2=9-7=2$$
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