Prealgebra (7th Edition)

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

Chapter 6 - Review: 39

Answer

7.071

Work Step by Step

Estimate $\sqrt {50}\approx7$ Divide the radicand by the approximation and average the divisor and quotient to refine the estimate. $50\div7=7.143$ The average of 7 and 7.143 is $\frac{7+7.143}{2}=7.072$ Repeat to further refine. $50\div7.072=7.070$ The average of 7.072 and 7.070 is $\frac{7.072+7.070}{2}=7.071$
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