Prealgebra (7th Edition)

Published by Pearson
ISBN 10: 0321955048
ISBN 13: 978-0-32195-504-3

Chapter 6 - Review: 40

Answer

8.063

Work Step by Step

Estimate $\sqrt {65}\approx8$ Divide the radicand by the approximation and average the divisor and quotient to refine the estimate. $65\div8=8.125$ The average of 8 and 8.125 is $\frac{8+8125}{2}=8.063$. Repeat to further refine. $65\div8.063=8.062$ The average of 8.063 and 8.062 is $\frac{8.063+8.062}{2}=8.063$.
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