Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 10 - Section 10.4 - Adding, Subtracting, and Multiplying Radical Expressions - Practice: 9

Answer

$\frac{\sqrt{3}}{18}$

Work Step by Step

Step 1: $\frac{\sqrt{75}}{9} - \frac{\sqrt{3}}{2}$ Step 2: $\frac{2 \times \sqrt{75}}{18} - \frac{9 \times \sqrt{3}}{18}$ Step 3: $\frac{2\times \sqrt{25}\times\sqrt{3}}{18} - \frac{9\sqrt{3}}{18}$ Step 4: $\frac{2\times 5\times\sqrt{3}}{18} - \frac{9\sqrt{3}}{18}$ Step 5: $\frac{10\sqrt{3}}{18} - \frac{9\sqrt{3}}{18}$ Answer: $\frac{\sqrt{3}}{18}$
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