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: 66

Answer

$\frac{7\sqrt 6-\sqrt {30}}{6}$

Work Step by Step

Step 1: $\frac{7-\sqrt 5}{\sqrt 6}$ Step 2: Rationalize the denominator: $\frac{(7-\sqrt 5)\times\sqrt 6}{\sqrt 6\times\sqrt 6}$. Step 3: $\frac{7\sqrt 6-\sqrt {5}\sqrt {6}}{6}$ Step 4: $\frac{7\sqrt 6-\sqrt {30}}{6}$
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