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Geometry

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

$Math Studyset Vaia Explanations$ Math

Student Edition · 227 pages

ISBN: 9780395977279

Chapter 8: Q. 8 (page 288)

Simplify.
$4 \sqrt{28}$

Short Answer

Expert verified

The simplified form is $4 \sqrt{28} = 8 \sqrt{7}$ .

Step by step solution

01

Step 1. Given information.

The given expression is $4 \sqrt{28}$

02

Step 2. It can be further written as below.

The given expression is $4 \sqrt{28}$

Then,

$\begin{matrix} 4 \sqrt{28} = 4 \sqrt{2^{2} \times 7} \\ = 4 \times 2 \sqrt{7} \\ = 8 \sqrt{7} \end{matrix}$

03

Step 3. Neglect negative sign.

Since, square root is positive quantity.

Therefore, the simplified form is $4 \sqrt{28} = 8 \sqrt{7}$ .

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Most popular questions from this chapter

Given: $P Q R S$ is a rectangle.

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$49$ and $25$

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