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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 9.18. (page 1039)

Simplify: $\sqrt{225 m^{2} n^{2}}$ .

Short Answer

Expert verified

The required answer is $15 m n$ .

Step by step solution

01

Step 1. Given information.

The given expression is:

$\sqrt{225 m^{2} n^{2}}$

02

Step 2. Simplify the expression.

$\sqrt{225 m^{2} n^{2}}$

Since ${(15 m n)}^{2} = 225 m^{2} n^{2}$ ,

then, $\sqrt{225 m^{2} n^{2}} = 15 m n$

Therefore, the value is $15 m n$ .

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