Rationalize the Denominator and Simplify $\frac { 5 \sqrt { 2 } + \sqrt { 14 } } { 5 \sqrt { 2 } - \sqrt { 14 } }$

question 135

Multiple Choice

Rationalize the denominator and simplify. Assume that all variables represent positive real numbers.
- $\frac { 5 \sqrt { 2 } + \sqrt { 14 } } { 5 \sqrt { 2 } - \sqrt { 14 } }$

• A) \(\frac { 64 + 10 \sqrt { 28 } } { 36 }\)
• B) \(\frac { 32 + 10 \sqrt { 7 } } { 18 }\)
• C) \(\frac { 64 + 20 \sqrt { 7 } } { 36 }\)
• D) \(\frac { 16 + 5 \sqrt { 7 } } { 9 }\)

Grasp the concept of a business model and its importance in providing value and adapting to changes in the market environment.

Understand the impact of narrowly defined business concepts on organizational growth and the importance of broad strategic thinking.

Comprehend how organizational culture contributes to uniting employees around common goals and improving both employee and patient/customer satisfaction.

Understand the importance and components of effective communication in leadership to inspire and take responsibility.

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Definitions:

Gene Pool

All the alleles of all the genes present in a freely interbreeding population.

Populations

A group of individuals of the same species living and interacting in a particular geographic area.

Mutations

Alterations in the DNA sequence that can lead to changes in the structure and function of proteins produced by genes.

Sexual Reproduction

A biological process where organisms reproduce by combining genetic material from two different cells, typically involving male and female gametes.