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: 39

Answer

Tom should use FOIL method to clear parentheses. The correct answer is $28+10\sqrt3$.

Work Step by Step

The given expression is $=(5+\sqrt3)^2$ Rewrite as shown below. $=(5+\sqrt3)(5+\sqrt3)$ Use FOIL method. $=25+5\sqrt3+5\sqrt3+\sqrt9$ Add like terms and simplify. $=25+10\sqrt3+3$ $=28+10\sqrt3$.
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