Intermediate Algebra for College Students (7th Edition)

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

Chapter 10 - Cumulative Review Exercises - Page 818: 19

Answer

The answer is $\frac{1+x-2\sqrt x}{1-x} $.

Work Step by Step

The given expression is $\frac{1-\sqrt x}{1+\sqrt x}$. Multiply and divide by $1-\sqrt x$ $=\frac{1-\sqrt x}{1+\sqrt x} \cdot \frac{1-\sqrt x}{1-\sqrt x}$ Simplify. $=\frac{(1-\sqrt x)^2}{1-x} $ Clear the parentheses. $=\frac{1+x-2\sqrt x}{1-x} $.
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