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Q. 15

Expert-verified

Geometry

Found in: Page 288

Book edition Student Edition

Author(s) Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

Pages 227 pages

ISBN 9780395977279

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Short Answer

Simplify.
$\frac{\sqrt{15}}{3 \sqrt{45}}$

The simplified form is $\frac{\sqrt{15}}{3 \sqrt{45}} = \frac{\sqrt{3}}{9}$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information.

The given expression is $\frac{\sqrt{15}}{3 \sqrt{45}}$

Step 2. It can be further written as below.

The given expression is $\frac{\sqrt{15}}{3 \sqrt{45}}$

Then,

$\begin{matrix} \frac{\sqrt{15}}{3 \sqrt{45}} = \frac{\sqrt{15}}{3 \sqrt{3^{2} \times 5}} \\ = \frac{\sqrt{15}}{3 \times 3 \sqrt{5}} \\ = \frac{\sqrt{3 \times 5}}{9 \sqrt{5}} \\ = \frac{\sqrt{3} \times \sqrt{5}}{9 \sqrt{5}} \\ = \frac{\sqrt{3}}{9} \end{matrix}$

Step 3. Neglect negative sign.

Since, square root is positive quantity.

Therefore, the simplified form is $\frac{\sqrt{15}}{3 \sqrt{45}} = \frac{\sqrt{3}}{9}$ .

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