Write the Expression in Standard Form $$\frac { ( 1 - \sqrt { 3 } i ) ( 1 + i ) } { 1 + \sqrt { 3 } i }$$

question 239

Multiple Choice

Write the expression in standard form.
- $$\frac { ( 1 - \sqrt { 3 } i ) ( 1 + i ) } { 1 + \sqrt { 3 } i }$$

• A) \(\frac { - 2 + 2 \sqrt { 3 } } { 4 } + \frac { 3 - 2 \sqrt { 3 } } { 4 } \mathrm { i }\)
• B) \(\frac { 3 + 2 \sqrt { 3 } } { 4 } + \frac { - 2 - 2 \sqrt { 3 } } { 4 } \mathrm { i }\)
• C) \(\frac { 2 - \sqrt { 3 } } { 2 } + \frac { 2 + \sqrt { 3 } } { 2 } \mathrm { i }\)
• D) \(\frac { - 2 + 2 \sqrt { 3 } } { 4 } + \frac { - 2 - 2 \sqrt { 3 } } { 4 } \mathrm { i }\)

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Definitions:

Consistent

A statistical property indicating that as the size of the sample increases, the estimator converges in probability to the parameter being estimated.

Unbiased Estimators

Statistical estimators that, on average, accurately predict the value of a population parameter without systematic error.

Smallest Variance

The smallest degree of spread or dispersion of observations around the mean in a dataset, indicating less variability.

Relatively Efficient

Refers to a process or system that achieves its goals with comparatively minimal waste of time, resources, or energy.