Algebra 1

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

Chapter 10 - Radical Expressions and Equations - 10-2 Simplifying Radicals - Practice and Problem-Solving Exercises - Page 611: 61


$\frac{-2\sqrt a}{a^2}$

Work Step by Step

$\frac{-2}{\sqrt {a^3}}\longrightarrow$ factor perfect square out of $a^3$ =$\frac{-2}{\sqrt{a^2\times a}}\longrightarrow$ multiplication property of square roots =$\frac{-2}{\sqrt{a^2}\times \sqrt a}\longrightarrow$ simplify =$\frac{-2}{a \sqrt a} \longrightarrow$ multiply numerator and denominator by $\sqrt a$ =$\frac{-2}{a\sqrt a}\times \frac{\sqrt a}{\sqrt a}\longrightarrow$ simplify =$\frac{-2\sqrt a}{a\sqrt {a^2}}\longrightarrow$ simplify =$\frac{-2\sqrt a}{a\times a}\longrightarrow$ simplify =$\frac{-2\sqrt a}{a^2}$
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