Chapter 8: Q. 63 (page 771)

In the following exercises, use the Product Property to simplify radical expressions a. $\sqrt[4]{32}$ ,b. $\sqrt[5]{64}$

Short Answer

Expert verified

The expression in simplified form is $2 \sqrt[4]{2}, 2 \sqrt[5]{2}$ respectively

Step by step solution

Given information

Given the expression $\sqrt[4]{32}, \sqrt[5]{64}$

Using the product property to simplify

Using the property, we get

$\sqrt[4]{32} = \sqrt[4]{16 \cdot 2} \sqrt[4]{32} = = 2 \cdot \sqrt[4]{2} \sqrt[4]{32} = = 2 \sqrt[4]{2}$

Simplifying for another expression

Using the property, we get

$\sqrt[5]{64} = \sqrt[5]{32 \cdot 2} \sqrt[5]{64} = 2 \cdot \sqrt[5]{2} \sqrt[5]{64} = 2 \sqrt[5]{2}$

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In the following exercises, use the Product Property to simplify radical expressions a. $\sqrt[4]{32}$ ,b. $\sqrt[5]{64}$

Short Answer

Step by step solution

Given information

Using the product property to simplify

Simplifying for another expression

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In the following exercises, use the Product Property to simplify radical expressions a. 324,b.645

Short Answer

Step by step solution

Given information

Using the product property to simplify

Simplifying for another expression

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Calculus

Mechanics Maths

Theoretical and Mathematical Physics

Decision Maths

Geometry

Study anywhere. Anytime. Across all devices.

In the following exercises, use the Product Property to simplify radical expressions a. $\sqrt[4]{32}$ ,b. $\sqrt[5]{64}$