Find the Following Products and Express Answers in Simplest Radical $64 \sqrt { 11 a } + 8 \sqrt { a d }$

question 124

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.
- $64 \sqrt { 11 a } + 8 \sqrt { a d }$

• A) \(8 \sqrt { a } ( 8 \sqrt { 11 } + \sqrt { d } )\)
• B) \(\sqrt { 11 a } ( 64 \sqrt { d } - 8 \sqrt { 7 } )\)
• C) \(8 \sqrt { a } ( 8 \sqrt { a d } + 8 \sqrt { a } )\)
• D) \(\sqrt { 7 d } \left( \sqrt { 1,331 a d } + \sqrt { 605 d ^ { 2 } } \right)\)

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Definitions:

Adverse Selection

A market mechanism where buyers and sellers have different information, leading to the selection of poorer-quality goods or higher-risk individuals than average.

Risk-averse

A description of an investor or decision-maker who prioritizes minimizing risk over achieving potentially higher gains.

Certain Payoff

A guaranteed outcome or return from an investment, where the investor has absolute certainty over the amount to be received.

Asymmetric Information

A situation in which one party in a transaction has more or superior information compared to another.