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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 43. (page 1041)

In the following exercises, simplify.
$\sqrt{144 x^{2} y^{2}}$

Short Answer

Expert verified

The required answer is $12 x y$ .

Step by step solution

01

Step 1. Given information.

The given expression is:

$\sqrt{144 x^{2} y^{2}}$

02

Step 2. Simplify the expression.

$\sqrt{144 x^{2} y^{2}}$
Since ${(12 x y)}^{2} = 144 x^{2} y^{2}$ ,

then, $\sqrt{144 x^{2} y^{2}} = 12 x y$

Therefore, the value is $12 x y$ .

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