Rationalize the Denominator and Simplify $\frac { \sqrt { 7 } - \sqrt { 8 } } { \sqrt { 7 } + \sqrt { 8 } }$

question 275

Multiple Choice

Rationalize the denominator and simplify. Assume that all variables represent positive real numbers.
- $\frac { \sqrt { 7 } - \sqrt { 8 } } { \sqrt { 7 } + \sqrt { 8 } }$

• A) \(15 + 2 \sqrt { 56 }\)
• B) \(2 \sqrt { 56 } - 15\)
• C) \(15 - 2 \sqrt { 56 }\)
• D) \(- 15 - 2 \sqrt { 56 }\)

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Definitions:

Population Mean

The average of all observations or values in a total population, representing the central value around which the figures in the population distribute.

Sample Statistic s

Calculated value (such as mean or standard deviation) from a sample of data, used to infer characteristics of the entire population.

Standard Error

A measure of the statistical accuracy of an estimate, calculated as the standard deviation of the sampling distribution of a statistic.

Probability Distribution

A function that describes the likelihood of different outcomes in an experiment.