Chapter 9: Q 98. (page 1053)

In the following exercises, simplify.
$\frac{8 - \sqrt{80}}{4}$

Short Answer

Expert verified

The required answer is $2 - \sqrt{5}$ .

Step by step solution

Step 1. Given information.

The given expression is:

$\frac{8 - \sqrt{80}}{4}$

Step 2. Use the Product Property to Simplify Square Root.

$\frac{8 - \sqrt{80}}{4}$

Rewrite the radicand as a product using the largest perfect square factor.

$\frac{8 - \sqrt{16 \cdot 5}}{4}$

Rewrite the radical as the product of two radicals.

$\frac{8 - \sqrt{16} \cdot \sqrt{5}}{4}$

Simplify,

role="math" localid="1648232018497" $\frac{8 - 4 \sqrt{5}}{4}$

Factor the common factor from the numerator,

$\frac{4 (2 - \sqrt{5})}{4}$

Remove the common factor and simplify,

$2 - \sqrt{5}$

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In the following exercises, simplify.
$\frac{8 - \sqrt{80}}{4}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Use the Product Property to Simplify Square Root.

One App. One Place for Learning.

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In the following exercises, simplify.8-804

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Use the Product Property to Simplify Square Root.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

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Study anywhere. Anytime. Across all devices.

In the following exercises, simplify.
$\frac{8 - \sqrt{80}}{4}$