Intermediate Algebra (6th Edition)

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

Chapter 7 - Review: 116

Answer

$\dfrac{x-25}{-3\sqrt[]{x}+15}$

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.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.