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 - Chapter Review Exercises - Page 670: 30

Answer

$10a\sqrt {ab}$

Work Step by Step

$\sqrt {100a^{3}b}$ =$\sqrt {100}\times\sqrt {a^{3}}\times\sqrt {b}$ =$10\times \sqrt {a^{2}\times a}\times\sqrt {b}$ =$10\times a\sqrt {a}\times\sqrt {b}$ =$10\times a\times\sqrt {a}\times\sqrt {b}$ =$10a\times\sqrt {a\times b}$ =$10a\sqrt {ab}$
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