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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 9: Q. 9.84 (page 1061)

Simplify: $7 \sqrt{48 y^{2}} - 4 \sqrt{72 y^{2}}$

Short Answer

Expert verified

The solution is $28 y \sqrt{3} - 24 y \sqrt{2} .$

Step by step solution

01

Step 1. Given information

Roots: $7 \sqrt{48 y^{2}} - 4 \sqrt{72 y^{2}}$

02

Step 2. Calculation

We have,

$7 \sqrt{48 y^{2}} - 4 \sqrt{72 y^{2}} = 7 \sqrt{16 y^{2}} \cdot \sqrt{3} - 4 \sqrt{36 y^{2}} \cdot \sqrt{2} = 7 \cdot 4 y \cdot \sqrt{3} - 4 \cdot 6 y \cdot \sqrt{2} = 28 y \sqrt{3} - 24 y \sqrt{2}$

Therefore, the solution is $28 y \sqrt{3} - 24 y \sqrt{2} .$

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