Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 11 - Rational Expressions and Functions - 11-1 Simplifying Rational Expressions - Mixed Review: 64

Answer

$\frac{\sqrt 2}{5m^2}$

Work Step by Step

$\sqrt \frac{2m}{25m^5}$ = $\frac{\sqrt 2\times\sqrt m}{\sqrt 25\times\sqrt m^2\times\sqrt m^2\times\sqrt m}$ We can divide out the common factor $\sqrt m$ and simplify: $\frac{\sqrt 2\times\sqrt m}{\sqrt 25\times\sqrt m^2\times\sqrt m^2\times\sqrt m}$ = $\frac{\sqrt 2}{\sqrt 25\times\sqrt m^2\times\sqrt m^2}$ =$\frac{\sqrt 2}{5m^2}$
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