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 - 8.3 Multiplying and Dividing Radicals - 8.3 Exercises - Page 643: 40

Answer

Warrick should use FOIL method to clear parentheses. The correct answer is $=15+3\sqrt7 y+5\sqrt2 x+\sqrt{14} xy$.

Work Step by Step

The given expression is $=(3+\sqrt2 x)(5+\sqrt7 y)$ Use FOIL method. $=15+3\sqrt7 y+5\sqrt2 x+\sqrt2 x\cdot\sqrt7 y$ Simplify. $=15+3\sqrt7 y+5\sqrt2 x+\sqrt{14} xy$.
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