Find the Following Products and Express Answers in Simplest Radical $- 760 - 32 \sqrt { 247 }$

question 59

Multiple Choice

Find the following products and express answers in simplest radical form. All variables represent non negative real numbers. Match each of the expressions with the expression to obtain a true statement.
- $- 760 - 32 \sqrt { 247 }$

• A) \(8 \sqrt { 19 } ( 2 \sqrt { 2 } - \sqrt { 17 } )\)
• B) \(10 \sqrt { 13 } ( 2 \sqrt { 19 } - 8 \sqrt { 17 } )\)
• C) \(10 \sqrt { 26 } ( 8 \sqrt { 8 } - 19 \sqrt { 52 } )\)
• D) \(- 4 \sqrt { 19 } ( 10 \sqrt { 19 } + 4 \sqrt { 52 } )\)
• E) \(- 10 \sqrt { 13 } ( 8 \sqrt { 52 } - 8 \sqrt { 8 } )\)

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Definitions:

Exclusive representation

The legal designation of a single labor union to represent all the employees in a bargaining unit in negotiations with the employer, regardless of whether all employees are union members.

Great Britain

A geographical and political entity comprising England, Scotland, and Wales, which together form the largest part of the United Kingdom.

Confederation

An organization or alliance of groups united in a common purpose, often used in the context of labor to describe unions coming together for mutual benefit.

Opponent

an individual or group that opposes or competes against another in a conflict, competition, or debate.