Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 7 - Review - Page 469: 116



Work Step by Step

Multiplying by the conjugate of the numerator, the rationalized-numerator form of the given expression, $ \dfrac{\sqrt[]{x}+5}{-3} ,$ is \begin{array}{l}\require{cancel} \dfrac{\sqrt[]{x}+5}{-3}\cdot\dfrac{\sqrt[]{x}-5}{\sqrt[]{x}-5} \\\\= \dfrac{(\sqrt[]{x})^2-(5)^2}{-3\sqrt[]{x}+15} \\\\= \dfrac{x-25}{-3\sqrt[]{x}+15} .\end{array} Note that all variables are assumed to have positive real numbers.
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