Rationalize the Denominator and Simplify $\frac { 2 \sqrt { 3 } + 13 \sqrt { 7 } } { 10 \sqrt { 7 } - 3 \sqrt { 3 } }$

question 123

Multiple Choice

Rationalize the denominator and simplify.
- $\frac { 2 \sqrt { 3 } + 13 \sqrt { 7 } } { 10 \sqrt { 7 } - 3 \sqrt { 3 } }$

• A) \(\frac { 59 \sqrt { 21 } + 928 } { 727 }\)
• B) \(\frac { 59 \sqrt { 21 } + 6 \sqrt { 3 } + 130 \sqrt { 7 } } { 673 }\)
• C) \(\frac { 2167 } { 727 }\)
• D) \(\frac { 59 \sqrt { 21 } + 928 } { 673 }\)

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Definitions:

Qualitative Methods

Research techniques that collect non-numerical data to understand concepts, thoughts, or experiences.

Quantitative Forecasting

The use of statistical methods and mathematical models to predict future outcomes based on historical data and quantitative analysis.

Long-Range Forecasts

Predictions about future events or trends that extend far into the future, often used in strategic planning and resource allocation.

Forecasting Steps

A sequential approach to predict future events or trends, involving data collection, analysis, model selection, and results validation.