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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. 495 (page 851)

In the following exercises, use the Product Property to simplify radical expressions.
$(a) \sqrt[3]{625} (b) \sqrt[6]{128}$

Short Answer

Expert verified

The required answer is $5 \sqrt[3]{5} a n d 2 \sqrt[6]{2}$

Step by step solution

01

Step 1. Given Information

The given expression is

$(a) \sqrt[3]{625} (b) \sqrt[6]{128}$

02

Part(a) Step 1. Calculation

Simplify the expression using product property.

$\sqrt[3]{625} = \sqrt[3]{125 脳 5} = 5 \sqrt[3]{5}$

03

Part(b) Step 1. Calculation

Simplify the expression using product property.

$\sqrt[6]{128} = \sqrt[6]{64 脳 2} = 2 \sqrt[6]{2}$

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Most popular questions from this chapter

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