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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 696 (page 1151)

In the following exercises, rationalize the denominator.
$\sqrt{\frac{9}{75}}$

Short Answer

Expert verified

The simplification of the expression is $\frac{\sqrt{3}}{5}$

Step by step solution

01

Step 1. Given information

Given expression is $\sqrt{\frac{9}{75}}$

02

Step 2. Simplify by rationalizing the denominator.

$\sqrt{\frac{9}{75}} = \sqrt{\frac{3}{25}} = \frac{\sqrt{3}}{\sqrt{25}} = \frac{\sqrt{3}}{\sqrt{5} \sqrt{5}} = \frac{\sqrt{3}}{5}$

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