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: 4

Answer

$5\sqrt {21}$

Work Step by Step

Step 1: $\sqrt {15}\times\sqrt {35}$ Step 2: $\sqrt {3\times5}\times\sqrt {5\times7}$ Step 3: $\sqrt 3\times\sqrt 5\times\sqrt 5\times\sqrt 7$ Step 4: $\sqrt 3\times(\sqrt 5\times\sqrt 5)\times\sqrt 7$ Step 5: $\sqrt 3\times(5)\times\sqrt 7$ Step 6: $5\times\sqrt 3\times\sqrt 7$ Step 7: $5\sqrt {21}$
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