Simplify the Expression $$( \sqrt [ 3 ] { 5 } - 2 ) \left( \sqrt [ 3 ] { 5 ^ { 2 } } + 2 \sqrt [ 3 ] { 5 } + 4 \right)$$

question 258

Multiple Choice

Simplify the expression. Assume all variables represent positive real numbers.
- $$( \sqrt [ 3 ] { 5 } - 2 ) \left( \sqrt [ 3 ] { 5 ^ { 2 } } + 2 \sqrt [ 3 ] { 5 } + 4 \right)$$

• A) \(4 \sqrt [ 3 ] { 5 ^ { 2 } } + 8 \sqrt [ 3 ] { 5 } - 3\)
• B) 13
• C) \(4 \sqrt [ 3 ] { 5 ^ { 2 } } - 8 \sqrt [ 3 ] { 5 } + 13\)
• D) \(- 3\)

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Definitions:

Validity

The quality of being logically or factually sound; the degree to which a concept, conclusion, or measurement is well-founded and corresponds accurately to the real world.

Experimental Group

In scientific research, the group of subjects who are exposed to the variable or treatment being tested, as opposed to the control group.

Independent Variable

This refers to a variable in an experiment that is manipulated or changed by the researcher to observe its effects on the dependent variable.

Control Group

In experimental research, a group of subjects that does not receive the experimental treatment, used as a baseline to compare the effects of that treatment.