Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 9 - Roots and Radicals - Chapter 9 Review Problem Set - Page 430: 15


$\frac{\sqrt 3}{3}$

Work Step by Step

The simplification of the expression is only possible through rationalizing the denominator: Step 1: $\sqrt \frac{8}{24}$ Step 2: $\sqrt \frac{1}{3}$ Step 3: $\frac{\sqrt 1}{\sqrt 3}$ Step 4: $\frac{1}{\sqrt 3}$ Step 5: $\frac{1}{\sqrt 3}\times\frac{\sqrt 3}{\sqrt 3}$ Step 6: $\frac{1\times\sqrt 3}{(\sqrt 3)^{2}}$ Step 7: $\frac{\sqrt 3}{3}$
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