Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 9 - Roots and Radicals - 9.1 - Roots and Radicals - Problem Set 9.1 - Page 401: 67


$-\sqrt2 + 2\sqrt3$

Work Step by Step

RECALL: The distributive property states that for any real numbers a, b, and c: $ac+bc=(a+b)c$ Regroup the terms to obtain: $=(8\sqrt2-9\sqrt2)+(6\sqrt3-4\sqrt3)$ Use the distributive property to simplify: $=(8-9)\sqrt2 + (6-4)\sqrt3 \\=(-1)\sqrt2 + 2\sqrt3 \\=-\sqrt2 + 2\sqrt3$
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