Chapter 8: Q. 66 (page 771)

In the following exercises, use the Product Property to simplify radical expressions a $\sqrt[4]{3125}$ , b. $\sqrt[3]{81}$

Short Answer

Expert verified

The expression in simplified form is $5 \sqrt[4]{5}, 3 \sqrt[3]{3}$ respectively

Step by step solution

Given information

Given the expression $\sqrt[4]{3125}, \sqrt[3]{81}$

Using the product property to simplify

Using the property, we get

$\sqrt[4]{3125} = \sqrt[4]{625 \cdot 5} \sqrt[4]{3125} = \sqrt[4]{625} \times \sqrt[4]{5} \sqrt[4]{3125} = \sqrt[4]{5^{4}} \times \sqrt[4]{5} \sqrt[4]{3125} = 5 \sqrt[4]{5}$

Simplifying for another expression813=27·33813=273×33813=333×33813=333

Simplifying, we get

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In the following exercises, use the Product Property to simplify radical expressions a $\sqrt[4]{3125}$ , b. $\sqrt[3]{81}$

Short Answer

Step by step solution

Given information

Using the product property to simplify

Simplifying for another expression813=27·33813=273×33813=333×33813=333

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In the following exercises, use the Product Property to simplify radical expressions a 31254, b.813

Short Answer

Step by step solution

Given information

Using the product property to simplify

Simplifying for another expression813=27·33813=273×33813=333×33813=333

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Calculus

Discrete Mathematics

Statistics

Applied Mathematics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

In the following exercises, use the Product Property to simplify radical expressions a $\sqrt[4]{3125}$ , b. $\sqrt[3]{81}$