Algebra: A Combined Approach (4th Edition)

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

Chapter 10 - Section 10.1 - Radical Expressions and Radical Functions - Exercise Set: 110

Answer

The length of the bent wire is closest to 7.

Work Step by Step

Take the sum of all the sides. $\sqrt {20} + \sqrt {8}$ Approximate the square roots based on the nearest perfect squares. $\sqrt {20}\approx4.4$ because it is between $\sqrt {16}$ and $\sqrt {25}$ (between 4 and 5). $\sqrt {8}\approx2.9$ because it is between $\sqrt{4}$ and $\sqrt {9}$ (between 2 and 3). so... $\sqrt {20} + \sqrt {8}\approx4.4+2.9\approx7$.
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