Rationalize the Denominator and Simplify Further, If Possible $\sqrt { \frac { 64 } { x ^ { 3 } } }$

question 91

Multiple Choice

Rationalize the denominator and simplify further, if possible. $\sqrt { \frac { 64 } { x ^ { 3 } } }$

• A) \(\frac { 8 \sqrt { x } } { x ^ { 2 } }\)
• B) \(\frac { 64 } { x ^ { 2 } }\)
• C) \(\frac { 8 } { x ^ { 3 } }\)
• D) \(\frac { 8 } { x ^ { 2 } }\)
• E) \(\frac { 64 \sqrt { x } } { x }\)

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Definitions:

Marginal Cost

The financial outlay for generating an additional unit of a good or service.

Profit Maximizing Price

The price at which a company can sell its product to maximize its profit, balancing between too high to deter consumers and too low to cover costs.

State Government

The government of a specific state within a country, responsible for governing matters not reserved by the federal government.

Demand Curve

A graphical representation showing the relationship between the price of a good and the quantity demanded by consumers at those prices.