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Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 227 pages

ISBN: 9780395977279

Chapter 8: Q. 6 (page 288)

Simplify.
$\sqrt{54}$

Short Answer

Expert verified

The simplified form is $\sqrt{54} = 3 \sqrt{6}$ .

Step by step solution

01

Step 1. Given information.

The given expression is $\sqrt{54}$

02

Step 2. It can be further written as below.

The given expression is $\sqrt{54}$

Then,

$\begin{matrix} \sqrt{54} = \sqrt{2 脳 3^{3}} \\ = 3 \sqrt{2 脳 3} \\ = 3 \sqrt{6} \end{matrix}$

03

Step 3. Neglect negative sign.

Since, square root is positive quantity.

Therefore, the simplified form is $\sqrt{54} = 3 \sqrt{6}$ .

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