Rationalize the Denominator and Simplify $\sqrt [ 4 ] { \frac { 81 } { 8 } }$

question 145

Multiple Choice

Rationalize the denominator and simplify. Assume that all variables represent positive real numbers.
- $\sqrt [ 4 ] { \frac { 81 } { 8 } }$

• A) \(\frac { 3 \sqrt { 2 } } { 2 }\)
• B) \(\frac { 3 \sqrt { 8 } } { 8 }\)
• C) \(\frac { 3 \sqrt [ 4 ] { 2 } } { 2 }\)
• D) \(\frac { 3 \sqrt { 8 } } { 2 }\)

Understand the principle of increasing opportunity cost and its relationship to the shape of the production possibilities frontier.

Analyze the factors that can cause the production possibility frontier to shift and the significance of such shifts.

Explain the significance of all points on, inside, and outside the production possibilities frontier.

Appreciate the trade-offs involved in allocating resources to produce different combinations of goods.

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