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 - Got It? - Page 627: 2

Answer

a. $8\sqrt7$ b. $8\sqrt2$

Work Step by Step

a. Expression = $4\sqrt7 + 2\sqrt 28$ $= 2 (2\sqrt7 + \sqrt {7\times 4})$ $= 2\times \sqrt 7(2 + \sqrt 4)$ $= 2\times \sqrt 7\times(4)$ $= 8\sqrt7$ b. Expression = $5\sqrt32 - 4\sqrt18$ $= \sqrt 2 (5\sqrt16 - 4\sqrt9)$ $= \sqrt 2 (5*4 - 4*3)$ $= \sqrt 2 (8)$ $8\sqrt2$
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