College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter P - Prerequisites: Fundamental Concepts of Algebra - Exercise Set P.3: 41

Answer

$34\sqrt{2}$

Work Step by Step

$3\sqrt{18} + 5\sqrt{50}$ By the Product Rule for Square Roots $=3(\sqrt{9} \cdot \sqrt{2}) + 5(\sqrt{25} \cdot \sqrt{2})$ $=3(3 \cdot \sqrt{2}) + 5(5 \cdot \sqrt{2})$ $=9\sqrt{2} + 25\sqrt{2}$ By the Distributive Property $=(9+25)\sqrt{2}$ $=34\sqrt{2}$
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