Chapter 8: Q. 592 (page 857)

In the following exercises, simplify. Assume all variables are positive.
$\frac{\sqrt[3]{128}}{\sqrt[3]{54}}$

Short Answer

Expert verified

The simplification of the rational radicand $\frac{\sqrt[3]{128}}{\sqrt[3]{54}}$ is $\frac{4}{3} .$

Step by step solution

Step 1. Given Information

We have $\frac{\sqrt[3]{128}}{\sqrt[3]{54}}$

Step 2. Factor the radicand

$\frac{\sqrt[3]{128}}{\sqrt[3]{54}} = \frac{\sqrt[3]{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2}}{\sqrt[3]{2 \times 3 \times 3 \times 3}}$

Step 3. Simplify the factor

$= \frac{2 \times 2 \times \sqrt[3]{2}}{3 \times \sqrt[3]{2}} = \frac{4}{3}$

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In the following exercises, simplify. Assume all variables are positive.
$\frac{\sqrt[3]{128}}{\sqrt[3]{54}}$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Factor the radicand

Step 3. Simplify the factor

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In the following exercises, simplify. Assume all variables are positive.1283543

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Factor the radicand

Step 3. Simplify the factor

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Discrete Mathematics

Theoretical and Mathematical Physics

Geometry

Statistics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

In the following exercises, simplify. Assume all variables are positive.
$\frac{\sqrt[3]{128}}{\sqrt[3]{54}}$