Algebra 1

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

Chapter 10 - Radical Expressions and Equations - Mid-Chapter Quiz: 17

Answer

$-\frac{1}{3c}$

Work Step by Step

=$-\frac{\sqrt{5c}}{\sqrt{45c^3}}\longrightarrow$ factor the radicand in the denominator =$-\frac{\sqrt{5c}}{\sqrt{9c^2\times5c}}\longrightarrow$ multiplication property of square roots =$-\frac{\sqrt{5c}}{\sqrt{9c^2}\times\sqrt{5c}}\longrightarrow$ simpify; $\sqrt{5c}$ cancels in numerator and denominator =$-\frac{1}{3c}$
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