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

question 248

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

• 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:

Generalization

Drawing a conclusion about a certain characteristic of a population based on a sample from it.

Logical Support

The provision of reasons or evidence to justify a claim or argument.

Opinion Reasonable

A viewpoint that is supported by logic and evidence, making it sound and acceptable.

Rationalization

The process of offering a logical or reasonable explanation for behaviors or attitudes that might otherwise appear irrational.