Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 8 - Radical Functions - Chapter Review Exercises - Page 670: 52



Work Step by Step

$(3+5\sqrt 6)(3-5\sqrt 6)$ =$3(3-5\sqrt 6)+5\sqrt 6(3-5\sqrt 6)$ =$9-15\sqrt 6+15\sqrt 6-5\sqrt 6(5\sqrt 6)$ =$9+(-15+15)\sqrt 6-(5\times5)(\sqrt 6\times\sqrt 6)$ =$9+0-25(6)$ =$9-150$ =$-141$
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