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: 63

Answer

$\frac{x\sqrt y}{y^2}$

Work Step by Step

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