Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 5 - Number Theory and the Real Number System - 5.4 The Irrational Numbers - Exercise Set 5.4 - Page 298: 90

Answer

To add square roots with the same radicands, add their coefficients (factors outside the radicals) then retain/copy the radical. Refer to the example below.

Work Step by Step

To add square roots with the same radicands, add their coefficients (factors outside the radicals) then retain the radical. Example: $3\sqrt2 + 5\sqrt2 = (3+5)\sqrt2 = 8\sqrt2$
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