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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. 9.73 (page 1059)

Simplify: $\sqrt{32} - \sqrt{18}$

Short Answer

Expert verified

The solution is $\sqrt{2} .$

Step by step solution

01

Step 1. Given information

Roots: $\sqrt{32} - \sqrt{18}$

02

Step 2. Calculation

We have,

$\sqrt{32} - \sqrt{18} = \sqrt{16} \cdot \sqrt{2} - \sqrt{9} \cdot \sqrt{2} = 4 \sqrt{2} - 3 \sqrt{2} = \sqrt{2}$

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

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