Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 8 - Radical Functions - 8.3 Multiplying and Dividing Radicals - 8.3 Exercises: 46

Answer

$\frac{\sqrt 3}{2a}$

Work Step by Step

Step 1: $\sqrt \frac{3a}{4a^{3}}$ Step 2: $\sqrt \frac{3}{4a^{3-1}}$ Step 3: $\sqrt \frac{3}{4a^{2}}$ Step 4: $\frac{\sqrt 3}{\sqrt {4a^{2}}}$ Step 5: $\frac{\sqrt 3}{\sqrt 4\times\sqrt {a^{2}}}$ Step 6: $\frac{\sqrt 3}{2\times a}$ Step 7: $\frac{\sqrt 3}{2a}$
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