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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: Q9. (page 288)

Simplify
$\sqrt{288}$

Short Answer

Expert verified

The final answer is $\sqrt{288} = 12 \sqrt{2} .$

Step by step solution

01

Step 1. Given information:

The given expression is $\sqrt{288}$ .

02

Step 2. Concept used.

We have to find the factors of the given number.

Separate the factors into their own square roots.

03

Step 3. Applying the concept.

Now, we find the factors of the given number.

$\sqrt{288} = \sqrt{2 脳 12 脳 12}$

$= \sqrt{2 脳 12^{2}}$

$= 卤 12 \sqrt{2}$

Since square root is positive quantity so we neglect negative sign.

Therefore, the simplified form is $\sqrt{288} = 12 \sqrt{2} .$

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