Chapter 8: Q. 57 (page 771)

In the following exercises, use the Product Property to simplify radical expression $\sqrt{125} .$

Short Answer

Expert verified

The radical expression in simplified form is $5 \sqrt{5} .$

Step by step solution

Step 1. Given Information

The given expression is $\sqrt{125} .$

We have to use the Product Property to simplify the radical expression.

Step 2. Use the product rule to rewrite the radical as the product of two radicals

By using the rule we get,

$\sqrt{25} \cdot \sqrt{5}$

Step 3. Simplify the root of the perfect power

By simplifying we get,

$\sqrt{25} \cdot \sqrt{5} = 5 \sqrt{5}$

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In the following exercises, use the Product Property to simplify radical expression $\sqrt{125} .$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Use the product rule to rewrite the radical as the product of two radicals

Step 3. Simplify the root of the perfect power

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In the following exercises, use the Product Property to simplify radical expression125.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Use the product rule to rewrite the radical as the product of two radicals

Step 3. Simplify the root of the perfect power

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Geometry

Discrete Mathematics

Logic and Functions

Pure Maths

Applied Mathematics

Study anywhere. Anytime. Across all devices.

In the following exercises, use the Product Property to simplify radical expression $\sqrt{125} .$