Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 1 - Foundations for Algebra - 1-3 Real Numbers and the Number Line - Practice and Problem-Solving Exercises: 65

Answer

Fibonacci's estimate is more accurate because it's value is closer to $\pi$

Work Step by Step

$\pi \approx$ 3.142 $\sqrt 10$ = 3.162 $\frac{864}{275}$ = 3.1418 $\approx$ 3.142 Therefore, $\frac{864}{275}$ is closer to the value of $\pi$, and thus Fibonacci's estimate is more accurate.
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