Prealgebra (7th Edition)

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

Chapter 6 - Review: 35

Answer

3.465

Work Step by Step

Estimate $\sqrt {12}\approx3$ Divide the radicand by the approximation and average the divisor and quotient to refine the estimate. $12\div3=4$ The average of 3 and 4 is $\frac{3+4}{2}=3.5$. Repeat to further refine. $12\div3.5=3.429$ The average of 3.5 and 3.429 is $\frac{3.5+3.429}{2}=3.465$.
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