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: 5

Answer

$5x\sqrt 2$

Work Step by Step

Step 1: $\sqrt {5x}\times\sqrt {10x}$ Step 2: $\sqrt 5\times\sqrt x\times\sqrt {10}\times\sqrt x$ Step 3: $\sqrt x\times\sqrt x\times\sqrt 5\times\sqrt {10}$ Step 4: $(\sqrt x\times\sqrt x)\times(\sqrt 5\times\sqrt {10})$ Step 5: $x\times(\sqrt 5\times\sqrt {2\times5})$ Step 6: $x\times(\sqrt 5\times\sqrt 2\times\sqrt 5)$ Step 7: $x\times(\sqrt 5\times\sqrt 5\times\sqrt 2)$ Step 8: $x\times(5\times\sqrt 2)$ Step 9: $5x\sqrt 2$
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