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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: Q8. (page 291)

Simplify each expression.
${(2 n)}^{2}$

Short Answer

Expert verified

The simplified form is,

${(2 n)}^{2} = 4 n^{2}$ .

Step by step solution

01

Step 1. Given information.

The given expression is,

${(2 n)}^{2}$

02

Step 2. It can be further written as below.

We have the given expression is ${(2 n)}^{2}$

Then,

$\begin{matrix} {(2 n)}^{2} = (2 n) (2 n) \\ = 4 n^{2} \end{matrix}$

03

Step 3. Neglect negative sign.

Since, square root is positive quantity

So, we neglect negative sign.

Therefore, the simplified form is, ${(2 n)}^{2} = 4 n^{2}$ .

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Most popular questions from this chapter

Simplify

$\sqrt{288}$

Give the geometric mean between:

a. $2$ and $3$ b. $2$ and $6$ c. $4$ and $25 .$

Find the value of $x$ from the given figure.

Which equations are correct for the right triangle shown ?

$\begin{array}{l} (a) . r^{2} = s^{2} + t^{2} (b) . s^{2} = r^{2} + t^{2} (c) . s^{2} + r^{2} = t^{2} \\ (d) . s^{2} = t^{2} - r^{2} (e) . t = r + s (f) . t^{2} = {(r + s)}^{2} \end{array}$

Find the values of $x, y,$ and $z$ .

See all solutions

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