## Elementary Algebra

Published by Cengage Learning

# Chapter 9 - Roots and Radicals - 9.1 - Roots and Radicals - Problem Set 9.1 - Page 401: 68

#### Answer

$21\sqrt5 - 11\sqrt6$

#### 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: $=(7\sqrt5+14\sqrt5)+(-9\sqrt6-2\sqrt6)$ Use the distributive property to simplify: $=(7+14)\sqrt5 + (-9-2)\sqrt6 \\=(21)\sqrt5 + (-11)\sqrt6 \\=21\sqrt5 - 11\sqrt6$

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