Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 10 - Radical Expressions and Equations - 10-2 Simplifying Radicals - Got It? - Page 622: 6


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Work Step by Step

A) $\frac{\sqrt 2}{\sqrt 3}$ Multiplying the equation by $\frac{\sqrt3}{\sqrt3}$ $=\frac{\sqrt 2.\sqrt 3}{3}$ $=\frac{\sqrt 6}{3}$ B) $\frac{\sqrt 5}{\sqrt 18m}$ Multiplying the equation by $\frac{\sqrt 18m}{\sqrt 18m}$ $=\frac{\sqrt 5.\sqrt 18m}{\sqrt (18m)^2}$ $=\frac{\sqrt 90m}{18m}$ $=\frac{3\sqrt 10m}{18m}$ $=\frac{\sqrt 10m}{6m}$ C) $\sqrt \frac{7s}{3}=\frac{\sqrt 7s}{\sqrt 3}$ Multiplying the equation by $\frac{\sqrt3}{\sqrt3}$ $=\frac{\sqrt 7s.\sqrt 3}{3}$ $=\frac{\sqrt 21s}{3}$
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