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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 9: Q. 200 (page 1063)

In the following exercise, simplify: $\sqrt{96 d^{9}} - \sqrt{24 d^{9}}$

Short Answer

Expert verified

The solution is $2 d^{6} \sqrt{6 d} .$

Step by step solution

Step 1. Given information

Roots: $\sqrt{96 d^{9}} - \sqrt{24 d^{9}}$

Step 2. Calculation

We have,

$\sqrt{96 d^{9}} - \sqrt{24 d^{9}} = \sqrt{16 d^{8}} 路 \sqrt{6 d} - \sqrt{4 d^{8}} 路 \sqrt{6 d} = 4 d^{6} \sqrt{6 d} - 2 d^{6} \sqrt{6 d} = 2 d^{6} \sqrt{6 d}$

Therefore, the solution is $2 d^{6} \sqrt{6 d} .$

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In the following exercise, simplify:96d9-24d9

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

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In the following exercise, simplify: $\sqrt{96 d^{9}} - \sqrt{24 d^{9}}$