Find the Following Product and Express Answer in Simplest Radical $( 8 \sqrt { 19 } - 9 \sqrt { 323 } ) ( 3 \sqrt { 4,913 } + \sqrt { 323 } )$

question 265

Multiple Choice

Find the following product and express answer in simplest radical form. All variables represent nonnegative real numbers. $( 8 \sqrt { 19 } - 9 \sqrt { 323 } ) ( 3 \sqrt { 4,913 } + \sqrt { 323 } )$

• A) \(408 \sqrt { 323 } - 152 \sqrt { 19 } - 7,803 \sqrt { 17 } + 2,907\)
• B) \(408 \sqrt { 323 } + 152 \sqrt { 17 } - 7,803 \sqrt { 19 } - 2,907 \sqrt { 4,913 }\)
• C) \(24 \sqrt { 17 } + 8 \sqrt { 19 } - 2,907\)
• D) \(408 \sqrt { 323 } + 152 \sqrt { 17 } - 7,803 \sqrt { 19 } - 2,907\)
• E) \(- 408 \sqrt { 323 } - 152 \sqrt { 17 } + 7,803 \sqrt { 19 } + 2,907\)

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Definitions:

Correlational Study

A research method used to examine the relationship between two or more variables without manipulating them, identifying patterns or associations.

Double-Blind Experiment

An experimental setup where both the subjects of the experiment and the persons administering the experiment are unaware of the specifics of the test scenario to prevent bias.

Negative Correlation

A relationship between two variables in which one variable increases as the other decreases.

Illusory Correlation

A cognitive bias where a person perceives a relationship between variables (typically people, events, or behaviors) even when no such relationship exists.