Chapter 8: Q. 590 (page 857)

In the following exercises, simplify. Assume all variables are positive.
$\sqrt[3]{4} (\sqrt[3]{16} - \sqrt[3]{6})$

Short Answer

Expert verified

The simplification of the expression is $4 - 2 \sqrt[3]{3}$

Step by step solution

Step 1. Given Information

We have $\sqrt[3]{4} (\sqrt[3]{16} - \sqrt[3]{6})$

Step 2. Multiply by distributive property

$\sqrt[3]{4} (\sqrt[3]{16} - \sqrt[3]{6}) = \sqrt[3]{4} \sqrt[3]{16} - \sqrt[3]{4} \sqrt[3]{6}$

Step 3. Simplify the expression

$= \sqrt[3]{64} - \sqrt[3]{24} = \sqrt[3]{4 \times 4 \times 4} - \sqrt[3]{2 \times 2 \times 2 \times 3} = 4 - 2 \sqrt[3]{3}$

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In the following exercises, simplify. Assume all variables are positive.
$\sqrt[3]{4} (\sqrt[3]{16} - \sqrt[3]{6})$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Multiply by distributive property

Step 3. Simplify the expression

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In the following exercises, simplify. Assume all variables are positive.43163-63

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Multiply by distributive property

Step 3. Simplify the expression

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Statistics

Theoretical and Mathematical Physics

Decision Maths

Discrete Mathematics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

In the following exercises, simplify. Assume all variables are positive.
$\sqrt[3]{4} (\sqrt[3]{16} - \sqrt[3]{6})$