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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

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

01

Step 1. Given Information

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

02

Step 2. Multiply by distributive property

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

03

Step 3. Simplify the expression

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

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