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: 45

Answer

$\frac{x^{2}\sqrt 7}{5}$

Work Step by Step

Step 1: $\sqrt \frac{7x^{5}}{25x}$ Step 2: $\sqrt \frac{7x^{5-1}}{25}$ Step 3: $\sqrt \frac{7x^{4}}{25}$ Step 4: $\frac{\sqrt {7x^{4}}}{\sqrt {25}}$ Step 5: $\frac{\sqrt 7\times\sqrt {x^{4}}}{\sqrt {25}}$ Step 6: $\frac{\sqrt 7\times x^{2}}{5}$ Step 7: $\frac{x^{2}\sqrt 7}{5}$
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