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Q. 13

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.
$\frac{18}{\sqrt{3}}$

The simplified form is $\frac{18}{\sqrt{3}} = 6 \sqrt{3}$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information.

The given expression is $\frac{18}{\sqrt{3}}$ .

Step 2. It can be further written as below.

The given expression is $\frac{18}{\sqrt{3}}$

Then,

$\begin{matrix} \frac{18}{\sqrt{3}} = \frac{18}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}} \\ = \frac{18 \sqrt{3}}{3} \\ = 6 \sqrt{3} \end{matrix}$

Step 3. Neglect negative sign.

Since, square root is positive quantity

So, neglecting negative sign.

Therefore, the simplified form is $\frac{18}{\sqrt{3}} = 6 \sqrt{3}$ .

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