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: 62



Work Step by Step

$\frac{\sqrt{180}}{\sqrt3}\longrightarrow$ multiply numerator and denominaor by $\sqrt3$ =$\frac{\sqrt{180}}{\sqrt3}\times\frac{\sqrt3}{\sqrt3}\longrightarrow$ simplify, multiplication property of square roots =$\frac{\sqrt{540}}{3}\longrightarrow$ factor perfect square out of 540 =$\frac{\sqrt{36\times15}}{3}\longrightarrow$ multiplication property of square roots =$\frac{\sqrt{36}\times\sqrt{15}}{3}\longrightarrow$ simplify =$\frac{9\sqrt{15}}{3}\longrightarrow$ simplify =$3\sqrt{15}$
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