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 - 10.3 Multiplying Radical Expressions - 10.3 Exercise Set - Page 648: 86

Answer

Sometimes

Work Step by Step

This is sometimes the case, for it is only true if the number inside the parenthesis is positive. After all, since this is inside a square root, the function will not exist if the value is positive. Since the second expression exists for all values of $x$, we see that the simplification is only sometimes true.
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