Algebra 1

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

Chapter 10 - Radical Expressions and Equations - 10-3 Operations with Radial Expressions - Mixed Review: 70

Answer

$\frac{2\sqrt2}{3c}$

Work Step by Step

$\frac{4}{\sqrt{18c^2}}\longrightarrow$ factor out perfect squares =$\frac{4}{\sqrt{9c^2\times2}}\longrightarrow$ multiplication property of square roots =$\frac{4}{\sqrt{9c^2}\times\sqrt2}\longrightarrow$ simplify =$\frac{4}{3c\sqrt2}\longrightarrow$ multiply the numerator and denominator by $\sqrt2$ =$\frac{4}{3c\sqrt2}\times\frac{\sqrt2}{\sqrt2}\longrightarrow$ multiply =$\frac{4\sqrt2}{6c}\longrightarrow$ simplify =$\frac{2\sqrt2}{3c}$
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