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

Published by Pearson

# Chapter 8 - Section 8.3 - Operations with Radicals - Exercise Set - Page 592: 54

#### Answer

$34-15\sqrt5$

#### Work Step by Step

$(6+\sqrt5)(9-4\sqrt5)$ Use the FOIL method to multiply the binomial. Multiply the First terms, the Outside terms, the Inside terms, and the Last terms. $(6\times9)+(6\times(-4)\sqrt5)+(9\times\sqrt5)+(\sqrt5\times(-4)\sqrt5)$ Simplify. $54-24\sqrt5+9\sqrt5-20$ Combine lik terms/like radicals. $34-15\sqrt5$

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.