Chapter 8: Q4. (page 291)

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

Short Answer

Expert verified

The simplified form is,

${(3 \sqrt{11})}^{2} = 9 \times 11 = 99$

Step by step solution

Step 1. Given information.

The given expression is,

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

Step 2. It can be further written as below.

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

Then,

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

Step 3. Neglect negative sign.

Since, square root is positive quantity

So, we neglect negative sign.

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

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

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

Short Answer

Step by step solution

Step 1. Given information.

Step 2. It can be further written as below.

Step 3. Neglect negative sign.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Discrete Mathematics

Decision Maths

Pure Maths

Probability and Statistics

Geometry

Study anywhere. Anytime. Across all devices.

Complete the simplification.3112=?·?=9·?=?

Short Answer

Step by step solution

Step 1. Given information.

Step 2. It can be further written as below.

Step 3. Neglect negative sign.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Discrete Mathematics

Decision Maths

Pure Maths

Probability and Statistics

Geometry

Study anywhere. Anytime. Across all devices.

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