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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 11: Q. 500 (page 1069)

In the following exercises, simplify using absolute value signs as needed.
$(a) 8 + \sqrt{96} (b) \frac{2 + \sqrt{40}}{2}$

Short Answer

Expert verified

The required answers are $8 + 4 \sqrt{6} a n d 1 + \sqrt{10}$

Step by step solution

01

Step 1. Given Information

The given expressions are

$(a) 8 + \sqrt{96} (b) \frac{2 + \sqrt{40}}{2}$

02

Part(a) Step 1. Calculation

Simplify the expression by rewriting the radical using product property.

$8 + \sqrt{96} = 8 + \sqrt{16 脳 6} = 8 + 4 \sqrt{6}$

03

Part(b) Step 1. Calculation

Simplify the expression by rewriting the radical using product property.

$\frac{2 + \sqrt{40}}{2} = \frac{2 + \sqrt{4 脳 10}}{2} = \frac{2 + 2 \sqrt{10}}{2} = 1 + \sqrt{10}$

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Most popular questions from this chapter

In the following exercises, factor completely.

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