Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 7 - Section 7.3 - Simplifying Radicals, the Distance Formula, and Circles - 7.3 Exercises - Page 460: 70


$3m\sqrt 2$

Work Step by Step

$\sqrt (18m^{2})=\sqrt (9\times m^{2}\times2)=\sqrt 9\times\sqrt m^{2}\times\sqrt 2=3m\sqrt 2$ We know that $\sqrt 9=3$, because $3^{2}=9$. We know that $\sqrt m^{2}=m$, because $(m)^{2}=m^{2}$.
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