## Intermediate Algebra for College Students (7th Edition)

Published by Pearson

# Chapter 7 - Section 7.5 - Multiplying with More Than One Term and Rationalizing Denominators - Exercise Set - Page 549: 2

#### Answer

$x\sqrt{5} + \sqrt{15}$

#### Work Step by Step

RECALL: (1) Distributive Property: For any real numbers a, b, and c, $a(b+c) = ab+ ac$ (2) For any real numbers real numbers a and b within the domain, $\sqrt[n]{a} \cdot \sqrt[n]{b} = \sqrt[n]{ab}$ Use rule (1) above to obtain: $=\sqrt{5} \cdot x + \sqrt{5} \cdot \sqrt{3} \\=x\sqrt{5} + \sqrt{5} \cdot \sqrt{3}$ Use rule (2) above to obtain: $=x\sqrt{5} + \sqrt{5 \cdot 3} \\=x\sqrt{5} + \sqrt{15}$

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.