Prealgebra (7th Edition)

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

Chapter 6 - Review - Page 460: 36



Work Step by Step

Estimate $\sqrt {15}\approx4$ Divide the radicand by the approximation and average the divisor and quotient to refine the estimate. $15\div4=3.75$ The average of 4 and 3.75 is $\frac{4+3.75}{2}=3.875$. Repeat to further refine. $15\div3.875=3.871$ The average of 3.875 and 3.871 is $\frac{3.875+3.871}{2}=3.873$.
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