Simplify the Expression $( \sqrt { 5 } + 3 ) ( \sqrt { 3 } + 5 )$

question 238

Multiple Choice

Simplify the expression. Assume all variables represent positive real numbers.
- $( \sqrt { 5 } + 3 ) ( \sqrt { 3 } + 5 )$

• A) \(\sqrt { 15 } + 15\)
• B) \(\sqrt { 15 } + 8 \sqrt { 3 } + 15\)
• C) \(9 \sqrt { 15 } + 15\)
• D) \(\sqrt { 15 } + 5 \sqrt { 5 } + 3 \sqrt { 3 } + 15\)

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Definitions:

Standard Deviation

A statistical measure of the dispersion or variability of a set of data points from their mean, used in finance to gauge the volatility of investment returns.

Expected Rate

The anticipated return on an investment, taking into account various factors like market trends, risk level, and past performance.

Correlation Coefficient

A statistical measure that calculates the strength and direction of a linear relationship between two variables.

Weighted Average

A calculation that multiplies each component by a factor reflecting its importance or relevance, then summing these products to obtain an average.