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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: Q4. (page 291)

Complete the simplification.
${(3 \sqrt{11})}^{2} = ? 路 ? = 9 路 ? = ?$

Short Answer

Expert verified

The simplified form is,

${(3 \sqrt{11})}^{2} = 9 脳 11 = 99$

Step by step solution

01

Step 1. Given information.

The given expression is,

${(3 \sqrt{11})}^{2} = \underset{炉}{? . \underset{炉}{?}}$

02

Step 2. It can be further written as below.

We have the given expression is ${(3 \sqrt{11})}^{2}$

Then,

$\begin{matrix} {(3 \sqrt{11})}^{2} = (3 \sqrt{11}) . (3 \sqrt{11}) \\ = (9) \sqrt{(11^{2})} \\ = 9 脳 11 \\ = 99 \end{matrix}$

03

Step 3. Neglect negative sign.

Since, square root is positive quantity

So, we neglect negative sign.

Therefore, the simplified form is, ${(3 \sqrt{11})}^{2} = 99$ .

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