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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 211. (page 1064)

Simplify: $\sqrt{175 k^{4}} 鈥� 鈭� 鈥� \sqrt{63 k^{4}}$

Short Answer

Expert verified

The required answer is $2 \sqrt{7} k^{2}$ .

Step by step solution

01

Step 1. Given information.

The given square root is $\sqrt{175 k^{4}} - \sqrt{63 k^{4}}$ .

02

Step 2. Simplify the given root.

$\sqrt{175 k^{4}} - \sqrt{63 k^{4}} = 5 \sqrt{7} k^{2} - 3 \sqrt{7} k^{2}$

Add similar element.

$2 \sqrt{7} k^{2}$

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