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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 9: Q 41. (page 1041)

In the following exercises, simplify.
$- \sqrt{64 a^{2}}$

Short Answer

Expert verified

The required answer is $- 8 a$ .

Step by step solution

01

Step 1. Given information.

The given expression is:

$- \sqrt{64 a^{2}}$

02

Step 2. Simplify the expression.

$- \sqrt{64 a^{2}}$
Since ${(8 a)}^{2} = 64 a^{2}$ ,

then,role="math" localid="1648141917738" $- \sqrt{64 a^{2}} = - 8 a$

Therefore, the value is $- 8 a$ .

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