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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: Q7. (page 291)

Simplify each expression.
${(7 \sqrt{2})}^{2}$

Short Answer

Expert verified

The simplified form is,

${(7 \sqrt{2})}^{2} = 98$ .

Step by step solution

01

Step 1. Given information.

The given expression is,

${(7 \sqrt{2})}^{2}$ .

02

Step 2. It can be further written as below.

We have the given expression is ${(7 \sqrt{2})}^{2}$

Then,

$\begin{matrix} {(7 \sqrt{2})}^{2} = (7 \sqrt{2}) (7 \sqrt{2}) \\ = 49 \sqrt{2 脳 2} \\ = 49 脳 2 \\ = 98 \end{matrix}$

03

Step 3. Neglect negative sign.

Since, square root is positive quantity

So, we neglect negative sign.

Therefore, the simplified form is, ${(7 \sqrt{2})}^{2} = 98$ .

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