Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 8 - Section 8.2 - Multiplying and Dividing Radicals - Exercise Set - Page 585: 71

Answer

$\dfrac{\sqrt{3}}{2}$

Work Step by Step

Using $\sqrt{\dfrac{x}{y}}=\dfrac{\sqrt{x}}{\sqrt{y}}$ or the quotient rule of radicals, the given expression, $ \sqrt{\dfrac{3}{4}} ,$ simplifies to \begin{array}{l}\require{cancel} \dfrac{\sqrt{3}}{\sqrt{4}} \\\\= \dfrac{\sqrt{3}}{\sqrt{(2)^2}} \\\\= \dfrac{\sqrt{3}}{2} .\end{array} Note that variables are assumed to have positive real numbers.
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