Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 10 - Section 10.4 - Adding, Subtracting, and Multiplying Radical Expressions - Exercise Set: 46

Answer

$(6\sqrt {2}+3\sqrt {5})$ inches

Work Step by Step

Finding the perimeter of the triangle involves adding the lengths of all its sides: Perimeter=$\sqrt 8+\sqrt {32}+\sqrt {45}$ Perimeter=$\sqrt {2\times4}+\sqrt {2\times16}+\sqrt {9\times5}$ Perimeter=$2\sqrt {2}+4\sqrt {2}+3\sqrt {5}$ Perimeter=$(2+4)\sqrt {2}+3\sqrt {5}$ Perimeter=$(6\sqrt {2}+3\sqrt {5})$ inches
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