Find the Following Products and Express Answers in Simplest Radical $160 \sqrt { 26 } - 2,080$

question 85

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.
- $160 \sqrt { 26 } - 2,080$

• 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:

Positive Moods

Emotional states that are cheerful, content, and optimistic.

Negative Moods

Emotional states characterized by feelings of sadness, pessimism, or irritability.

Feel-Good, Do-Good

A phenomenon where people are more likely to engage in helpful behaviors when they are in a good mood.

External Locus

A belief system where individuals perceive their outcomes in life as being largely controlled by external forces rather than their own efforts.