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: 47

Answer

$\frac{x}{3y}$

Work Step by Step

Step 1: $\sqrt \frac{5x^{3}}{45xy^{2}}$ Step 2: $\sqrt \frac{5x^{3-1}}{45y^{2}}$ Step 3: $\sqrt \frac{5x^{2}}{45y^{2}}$ Step 4: $\sqrt \frac{5\times x^{2}}{45\times y^{2}}$ Step 5: $\sqrt \frac{5\times x^{2}}{5\times9\times y^{2}}$ Step 6: $\sqrt \frac{x^{2}}{9\times y^{2}}$ Step 7: $\frac{\sqrt {x^{2}}}{\sqrt 9\times\sqrt {y^{2}}}$ Step 8: $\frac{x}{3y}$
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