Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 10 - Radical Expressions and Equations - 10-3 Operations With Radical Expressions - Practice and Problem-Solving Exercises - Page 629: 16

Answer

$-3\sqrt 7$

Work Step by Step

You are given $\sqrt {28}$ $-5\sqrt 7$. factor out a perfect square:$\sqrt {4{\times}7}$ $-5\sqrt 7$ multiplication property:$(\sqrt 4)$$(\sqrt 7)$$-5\sqrt 7$ simplify:$2\sqrt 7$$-5\sqrt 7$ Distributive property: $\sqrt 7(2-5)$ =$-3\sqrt 7$
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